3432001920 has 128 divisors (see below), whose sum is σ = 11515392000. Its totient is φ = 867022848.

The previous prime is 3432001843. The next prime is 3432001961. The reversal of 3432001920 is 291002343.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10560 + ... + 83519.

It is an arithmetic number, because the mean of its divisors is an integer number (89964000).

Almost surely, 2^3432001920 is an apocalyptic number.

3432001920 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 3432001920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5757696000).

3432001920 is an abundant number, since it is smaller than the sum of its proper divisors (8083390080).

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

3432001920 is a wasteful number, since it uses less digits than its factorization.

3432001920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94120 (or 94108 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 3432001920 is about 58583.2904504348. The cubic root of 3432001920 is about 1508.3976277210.

The spelling of 3432001920 in words is "three billion, four hundred thirty-two million, one thousand, nine hundred twenty".