3551057664 has 432 divisors, whose sum is σ = 12213766656. Its totient is φ = 896163840.

The previous prime is 3551057659. The next prime is 3551057677. The reversal of 3551057664 is 4667501553.

It is a super-2 number, since 2×3551057664² = 25220021066106273792, which contains 22 as substring.

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

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34476237 + ... + 34476339.

It is an arithmetic number, because the mean of its divisors is an integer number (28272608).

Almost surely, 2^3551057664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3551057664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6106883328).

3551057664 is an abundant number, since it is smaller than the sum of its proper divisors (8662708992).

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

3551057664 is a wasteful number, since it uses less digits than its factorization.

3551057664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 42.

The square root of 3551057664 is about 59590.7514971912. The cubic root of 3551057664 is about 1525.6417850897.

The spelling of 3551057664 in words is "three billion, five hundred fifty-one million, fifty-seven thousand, six hundred sixty-four".