3831936480 has 72 divisors (see below), whose sum is σ = 13076488152. Its totient is φ = 1021849344.

The previous prime is 3831936469. The next prime is 3831936481. The reversal of 3831936480 is 846391383.

3831936480 is a `hidden beast` number, since 3 + 83 + 1 + 93 + 6 + 480 = 666.

3831936480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3831936481) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1329094 + ... + 1331973.

It is an arithmetic number, because the mean of its divisors is an integer number (181617891).

Almost surely, 2^3831936480 is an apocalyptic number.

3831936480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3831936480 is an abundant number, since it is smaller than the sum of its proper divisors (9244551672).

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

3831936480 is a wasteful number, since it uses less digits than its factorization.

3831936480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2661088 (or 2661077 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 3831936480 is about 61902.6371005307. The cubic root of 3831936480 is about 1564.8501906568.

The spelling of 3831936480 in words is "three billion, eight hundred thirty-one million, nine hundred thirty-six thousand, four hundred eighty".