3429357018192 has 640 divisors, whose sum is σ = 11723742489600. Its totient is φ = 939390566400.

The previous prime is 3429357018181. The next prime is 3429357018221. The reversal of 3429357018192 is 2918107539243.

3429357018192 is a `hidden beast` number, since 3 + 4 + 29 + 357 + 0 + 181 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5188134342 + ... + 5188135002.

It is an arithmetic number, because the mean of its divisors is an integer number (18318347640).

Almost surely, 2^{3429357018192} 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 3429357018192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5861871244800).

3429357018192 is an abundant number, since it is smaller than the sum of its proper divisors (8294385471408).

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

3429357018192 is a wasteful number, since it uses less digits than its factorization.

3429357018192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1332 (or 1320 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 3429357018192 in words is "three trillion, four hundred twenty-nine billion, three hundred fifty-seven million, eighteen thousand, one hundred ninety-two".