3432419393130 has 1152 divisors, whose sum is σ = 12483373190400. Its totient is φ = 663347543040.

The previous prime is 3432419393107. The next prime is 3432419393191. The reversal of 3432419393130 is 313939142343.

3432419393130 is a `hidden beast` number, since 3 + 4 + 3 + 241 + 9 + 393 + 13 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 3140364864 + ... + 3140365956.

It is an arithmetic number, because the mean of its divisors is an integer number (10836261450).

Almost surely, 2^{3432419393130} is an apocalyptic number.

3432419393130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3432419393130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6241686595200).

3432419393130 is an abundant number, since it is smaller than the sum of its proper divisors (9050953797270).

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

3432419393130 is a wasteful number, since it uses less digits than its factorization.

3432419393130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1217 (or 1173 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 45.

The spelling of 3432419393130 in words is "three trillion, four hundred thirty-two billion, four hundred nineteen million, three hundred ninety-three thousand, one hundred thirty".