3520903680 has 640 divisors, whose sum is σ = 15084748800. Its totient is φ = 760430592.

The previous prime is 3520903663. The next prime is 3520903723. The reversal of 3520903680 is 863090253.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-3 number, since 3×3520903680³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9192769 + ... + 9193151.

It is an arithmetic number, because the mean of its divisors is an integer number (23569920).

Almost surely, 2^3520903680 is an apocalyptic number.

3520903680 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 3520903680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7542374400).

3520903680 is an abundant number, since it is smaller than the sum of its proper divisors (11563845120).

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

3520903680 is a wasteful number, since it uses less digits than its factorization.

3520903680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 3520903680 is about 59337.2031696810. The cubic root of 3520903680 is about 1521.3111493814.

The spelling of 3520903680 in words is "three billion, five hundred twenty million, nine hundred three thousand, six hundred eighty".