3435796504920 has 512 divisors, whose sum is σ = 12172771860480. Its totient is φ = 767742935040.

The previous prime is 3435796504901. The next prime is 3435796504927. The reversal of 3435796504920 is 294056975343.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3435796504927) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 252384034 + ... + 252397646.

It is an arithmetic number, because the mean of its divisors is an integer number (23774945040).

Almost surely, 2^{3435796504920} is an apocalyptic number.

3435796504920 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 3435796504920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6086385930240).

3435796504920 is an abundant number, since it is smaller than the sum of its proper divisors (8736975355560).

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

3435796504920 is a wasteful number, since it uses less digits than its factorization.

3435796504920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13995 (or 13991 counting only the distinct ones).

The product of its (nonzero) digits is 24494400, while the sum is 57.

The spelling of 3435796504920 in words is "three trillion, four hundred thirty-five billion, seven hundred ninety-six million, five hundred four thousand, nine hundred twenty".