3432411072 has 224 divisors, whose sum is σ = 10694822400. Its totient is φ = 1077221376.

The previous prime is 3432411053. The next prime is 3432411077. The reversal of 3432411072 is 2701142343.

It is a happy number.

3432411072 is a `hidden beast` number, since 343 + 241 + 10 + 72 = 666.

3432411072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3432411077) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2662204 + ... + 2663492.

Almost surely, 2^3432411072 is an apocalyptic number.

3432411072 is a gapful number since it is divisible by the number (32) 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 3432411072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5347411200).

3432411072 is an abundant number, since it is smaller than the sum of its proper divisors (7262411328).

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

3432411072 is a wasteful number, since it uses less digits than its factorization.

3432411072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1400 (or 1384 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 3432411072 is about 58586.7824001284. The cubic root of 3432411072 is about 1508.4575674100.

The spelling of 3432411072 in words is "three billion, four hundred thirty-two million, four hundred eleven thousand, seventy-two".