3870379459584 has 1089 divisors, whose sum is σ = 13335090566119. Its totient is φ = 1121849118720.

The previous prime is 3870379459571. The next prime is 3870379459603. The reversal of 3870379459584 is 4859549730783.

The square root of 3870379459584 is 1967328.

It is a perfect power (a square), and thus also a powerful number.

3870379459584 is a `hidden beast` number, since 3 + 8 + 7 + 0 + 37 + 9 + 4 + 5 + 9 + 584 = 666.

It is a tau number, because it is divible by the number of its divisors (1089).

It is a super-2 number, since 2×3870379459584² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 98 ways as a sum of consecutive naturals, for example, 168277367797 + ... + 168277367819.

Almost surely, 2^{3870379459584} is an apocalyptic number.

3870379459584 is the 1967328-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3870379459584

3870379459584 is an abundant number, since it is smaller than the sum of its proper divisors (9464711106535).

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

3870379459584 is an frugal number, since it uses more digits than its factorization.

3870379459584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 914457600, while the sum is 72.

The spelling of 3870379459584 in words is "three trillion, eight hundred seventy billion, three hundred seventy-nine million, four hundred fifty-nine thousand, five hundred eighty-four".