3426477135700 has 72 divisors (see below), whose sum is σ = 7535385204480. Its totient is φ = 1352197392000.

The previous prime is 3426477135689. The next prime is 3426477135713. The reversal of 3426477135700 is 75317746243.

It is a happy number.

It is a super-2 number, since 2×3426477135700² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10111209 + ... + 10444591.

It is an arithmetic number, because the mean of its divisors is an integer number (104658127840).

Almost surely, 2^{3426477135700} 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 3426477135700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3767692602240).

3426477135700 is an abundant number, since it is smaller than the sum of its proper divisors (4108908068780).

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

3426477135700 is a wasteful number, since it uses less digits than its factorization.

3426477135700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334777 (or 334770 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 49.

The spelling of 3426477135700 in words is "three trillion, four hundred twenty-six billion, four hundred seventy-seven million, one hundred thirty-five thousand, seven hundred".