3492129016320 has 320 divisors, whose sum is σ = 12797354059776. Its totient is φ = 795785379840.

The previous prime is 3492129016307. The next prime is 3492129016381. The reversal of 3492129016320 is 236109212943.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17696437 + ... + 17892683.

Almost surely, 2^{3492129016320} is an apocalyptic number.

3492129016320 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 3492129016320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6398677029888).

3492129016320 is an abundant number, since it is smaller than the sum of its proper divisors (9305225043456).

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

3492129016320 is a wasteful number, since it uses less digits than its factorization.

3492129016320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196611 (or 196595 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The spelling of 3492129016320 in words is "three trillion, four hundred ninety-two billion, one hundred twenty-nine million, sixteen thousand, three hundred twenty".