3551364960 has 384 divisors, whose sum is σ = 13574615040. Its totient is φ = 768614400.

The previous prime is 3551364959. The next prime is 3551364961. The reversal of 3551364960 is 694631553.

3551364960 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3551364959) and next prime (3551364961).

It is a super-2 number, since 2×3551364960² = 25224386158231603200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3551364961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2127006 + ... + 2128674.

It is an arithmetic number, because the mean of its divisors is an integer number (35350560).

Almost surely, 2^3551364960 is an apocalyptic number.

3551364960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3551364960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6787307520).

3551364960 is an abundant number, since it is smaller than the sum of its proper divisors (10023250080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3551364960 is a wasteful number, since it uses less digits than its factorization.

3551364960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1742 (or 1734 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 42.

The square root of 3551364960 is about 59593.3298280940. The cubic root of 3551364960 is about 1525.6857917059.

It can be divided in two parts, 3551 and 364960, that added together give a triangular number (368511 = T₈₅₈).

The spelling of 3551364960 in words is "three billion, five hundred fifty-one million, three hundred sixty-four thousand, nine hundred sixty".