3876314624 has 160 divisors (see below), whose sum is σ = 9598718976. Its totient is φ = 1522851840.

The previous prime is 3876314623. The next prime is 3876314627. The reversal of 3876314624 is 4264136783.

It is a super-2 number, since 2×3876314624² = 30051630128472522752, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3876314623) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12626279 + ... + 12626585.

Almost surely, 2^3876314624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3876314624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4799359488).

3876314624 is an abundant number, since it is smaller than the sum of its proper divisors (5722404352).

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

3876314624 is a wasteful number, since it uses less digits than its factorization.

3876314624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 600 counting only the distinct ones).

The product of its digits is 580608, while the sum is 44.

The square root of 3876314624 is about 62260.0564085835. The cubic root of 3876314624 is about 1570.8679290977.

The spelling of 3876314624 in words is "three billion, eight hundred seventy-six million, three hundred fourteen thousand, six hundred twenty-four".