3487860921600 has 648 divisors, whose sum is σ = 13629318105312. Its totient is φ = 843938611200.

The previous prime is 3487860921599. The next prime is 3487860921631. The reversal of 3487860921600 is 61290687843.

3487860921600 is a `hidden beast` number, since 3 + 4 + 8 + 7 + 8 + 6 + 0 + 9 + 21 + 600 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 352910259 + ... + 352920141.

Almost surely, 2^{3487860921600} is an apocalyptic number.

3487860921600 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 3487860921600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6814659052656).

3487860921600 is an abundant number, since it is smaller than the sum of its proper divisors (10141457183712).

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

3487860921600 is a wasteful number, since it uses less digits than its factorization.

3487860921600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10483 (or 10461 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 3487860921600 in words is "three trillion, four hundred eighty-seven billion, eight hundred sixty million, nine hundred twenty-one thousand, six hundred".