3487077457920 has 1344 divisors, whose sum is σ = 14536386878400. Its totient is φ = 790741647360.

The previous prime is 3487077457907. The next prime is 3487077457949. The reversal of 3487077457920 is 297547707843.

3487077457920 is a `hidden beast` number, since 3 + 48 + 70 + 77 + 457 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12409528180 + ... + 12409528460.

Almost surely, 2^{3487077457920} is an apocalyptic number.

3487077457920 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 3487077457920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7268193439200).

3487077457920 is an abundant number, since it is smaller than the sum of its proper divisors (11049309420480).

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

3487077457920 is a wasteful number, since it uses less digits than its factorization.

3487077457920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 82978560, while the sum is 63.

The spelling of 3487077457920 in words is "three trillion, four hundred eighty-seven billion, seventy-seven million, four hundred fifty-seven thousand, nine hundred twenty".