3557121480 has 768 divisors, whose sum is σ = 14718412800. Its totient is φ = 761425920.

The previous prime is 3557121467. The next prime is 3557121517. The reversal of 3557121480 is 841217553.

3557121480 is a `hidden beast` number, since 3 + 5 + 57 + 121 + 480 = 666.

It is a super-2 number, since 2×3557121480² = 25306226446954780800, which contains 22 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 191 ways as a sum of consecutive naturals, for example, 34535109 + ... + 34535211.

It is an arithmetic number, because the mean of its divisors is an integer number (19164600).

Almost surely, 2^3557121480 is an apocalyptic number.

3557121480 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 3557121480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7359206400).

3557121480 is an abundant number, since it is smaller than the sum of its proper divisors (11161291320).

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

3557121480 is a wasteful number, since it uses less digits than its factorization.

3557121480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 3557121480 is about 59641.6086302172. The cubic root of 3557121480 is about 1526.5096908534.

The spelling of 3557121480 in words is "three billion, five hundred fifty-seven million, one hundred twenty-one thousand, four hundred eighty".