3557796480 has 512 divisors, whose sum is σ = 14648832000. Its totient is φ = 799248384.

The previous prime is 3557796461. The next prime is 3557796491. The reversal of 3557796480 is 846977553.

3557796480 is a `hidden beast` number, since 3 + 5 + 5 + 77 + 96 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8104101 + ... + 8104539.

It is an arithmetic number, because the mean of its divisors is an integer number (28611000).

Almost surely, 2^3557796480 is an apocalyptic number.

3557796480 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 3557796480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7324416000).

3557796480 is an abundant number, since it is smaller than the sum of its proper divisors (11091035520).

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

3557796480 is a wasteful number, since it uses less digits than its factorization.

3557796480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The square root of 3557796480 is about 59647.2671628801. The cubic root of 3557796480 is about 1526.6062416626.

The spelling of 3557796480 in words is "three billion, five hundred fifty-seven million, seven hundred ninety-six thousand, four hundred eighty".