3502056960 has 240 divisors, whose sum is σ = 12261465216. Its totient is φ = 923664384.

The previous prime is 3502056911. The next prime is 3502056977. The reversal of 3502056960 is 696502053.

3502056960 is a `hidden beast` number, since 35 + 0 + 2 + 0 + 569 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2234097 + ... + 2235663.

Almost surely, 2^3502056960 is an apocalyptic number.

3502056960 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 3502056960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6130732608).

3502056960 is an abundant number, since it is smaller than the sum of its proper divisors (8759408256).

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

3502056960 is a wasteful number, since it uses less digits than its factorization.

3502056960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1693 (or 1674 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 3502056960 is about 59178.1797624766. The cubic root of 3502056960 is about 1518.5918630248.

The spelling of 3502056960 in words is "three billion, five hundred two million, fifty-six thousand, nine hundred sixty".