3846427920 has 120 divisors (see below), whose sum is σ = 13334360832. Its totient is φ = 992620800.

The previous prime is 3846427913. The next prime is 3846427927. The reversal of 3846427920 is 297246483.

It is an interprime number because it is at equal distance from previous prime (3846427913) and next prime (3846427927).

It is a tau number, because it is divible by the number of its divisors (120).

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

It is not an unprimeable number, because it can be changed into a prime (3846427927) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63846 + ... + 108485.

Almost surely, 2^3846427920 is an apocalyptic number.

3846427920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3846427920 is an abundant number, since it is smaller than the sum of its proper divisors (9487932912).

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

3846427920 is a wasteful number, since it uses less digits than its factorization.

3846427920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172381 (or 172372 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 3846427920 is about 62019.5769092308. The cubic root of 3846427920 is about 1566.8203352109.

The spelling of 3846427920 in words is "three billion, eight hundred forty-six million, four hundred twenty-seven thousand, nine hundred twenty".