3895750464 has 224 divisors, whose sum is σ = 11456919936. Its totient is φ = 1162936320.

The previous prime is 3895750457. The next prime is 3895750477. The reversal of 3895750464 is 4640575983.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5754094 + ... + 5754770.

It is an arithmetic number, because the mean of its divisors is an integer number (51146964).

Almost surely, 2^3895750464 is an apocalyptic number.

3895750464 is a gapful number since it is divisible by the number (34) 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 3895750464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5728459968).

3895750464 is an abundant number, since it is smaller than the sum of its proper divisors (7561169472).

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

3895750464 is a wasteful number, since it uses less digits than its factorization.

3895750464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 793 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 51.

The square root of 3895750464 is about 62415.9471930051. The cubic root of 3895750464 is about 1573.4889970149.

The spelling of 3895750464 in words is "three billion, eight hundred ninety-five million, seven hundred fifty thousand, four hundred sixty-four".