3432305013100 has 72 divisors (see below), whose sum is σ = 7558750584000. Its totient is φ = 1352601369600.

The previous prime is 3432305013047. The next prime is 3432305013107. The reversal of 3432305013100 is 13105032343.

It is a super-2 number, since 2×3432305013100² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (3432305013107) 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, 3170676 + ... + 4113124.

It is an arithmetic number, because the mean of its divisors is an integer number (104982647000).

Almost surely, 2^{3432305013100} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3432305013100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3779375292000).

3432305013100 is an abundant number, since it is smaller than the sum of its proper divisors (4126445570900).

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

3432305013100 is a wasteful number, since it uses less digits than its factorization.

3432305013100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 943003 (or 942996 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 25.

The spelling of 3432305013100 in words is "three trillion, four hundred thirty-two billion, three hundred five million, thirteen thousand, one hundred".