3508870694400 has 360 divisors, whose sum is σ = 12763162224384. Its totient is φ = 920357683200.

The previous prime is 3508870694383. The next prime is 3508870694429. The reversal of 3508870694400 is 44960788053.

3508870694400 is a `hidden beast` number, since 3 + 5 + 0 + 88 + 70 + 6 + 94 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6777537 + ... + 7276863.

Almost surely, 2^{3508870694400} is an apocalyptic number.

3508870694400 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 3508870694400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6381581112192).

3508870694400 is an abundant number, since it is smaller than the sum of its proper divisors (9254291529984).

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

3508870694400 is a wasteful number, since it uses less digits than its factorization.

3508870694400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499422 (or 499398 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 3508870694400 in words is "three trillion, five hundred eight billion, eight hundred seventy million, six hundred ninety-four thousand, four hundred".