3875464560 has 320 divisors, whose sum is σ = 13499136000. Its totient is φ = 911815680.

The previous prime is 3875464547. The next prime is 3875464577. The reversal of 3875464560 is 654645783.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21650551 + ... + 21650729.

It is an arithmetic number, because the mean of its divisors is an integer number (42184800).

Almost surely, 2^3875464560 is an apocalyptic number.

3875464560 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 3875464560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6749568000).

3875464560 is an abundant number, since it is smaller than the sum of its proper divisors (9623671440).

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

3875464560 is a wasteful number, since it uses less digits than its factorization.

3875464560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 48.

The square root of 3875464560 is about 62253.2293138276. The cubic root of 3875464560 is about 1570.7530918508.

The spelling of 3875464560 in words is "three billion, eight hundred seventy-five million, four hundred sixty-four thousand, five hundred sixty".