3500061591600 has 1800 divisors, whose sum is σ = 15082690576080. Its totient is φ = 770704865280.

The previous prime is 3500061591599. The next prime is 3500061591629. The reversal of 3500061591600 is 61951600053.

3500061591600 is a `hidden beast` number, since 3 + 5 + 0 + 0 + 0 + 6 + 1 + 591 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1800).

It is a super-2 number, since 2×3500061591600² (a number of 26 digits) contains 22 as substring.

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 359 ways as a sum of consecutive naturals, for example, 47946049164 + ... + 47946049236.

Almost surely, 2^{3500061591600} is an apocalyptic number.

3500061591600 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 3500061591600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7541345288040).

3500061591600 is an abundant number, since it is smaller than the sum of its proper divisors (11582628984480).

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

3500061591600 is an equidigital number, since it uses as much as digits as its factorization.

3500061591600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The spelling of 3500061591600 in words is "three trillion, five hundred billion, sixty-one million, five hundred ninety-one thousand, six hundred".