34631126420 has 192 divisors, whose sum is σ = 82987027200. Its totient is φ = 12029952000.

The previous prime is 34631126329. The next prime is 34631126423. The reversal of 34631126420 is 2462113643.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34631126423) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 143697500 + ... + 143697740.

It is an arithmetic number, because the mean of its divisors is an integer number (432224100).

Almost surely, 2^34631126420 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 34631126420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41493513600).

34631126420 is an abundant number, since it is smaller than the sum of its proper divisors (48355900780).

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

34631126420 is a wasteful number, since it uses less digits than its factorization.

34631126420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

It can be divided in two parts, 34631 and 126420, that added together give a 5-th power (161051 = 11⁵).

The spelling of 34631126420 in words is "thirty-four billion, six hundred thirty-one million, one hundred twenty-six thousand, four hundred twenty".