34625766400 has 99 divisors (see below), whose sum is σ = 85903834981. Its totient is φ = 13838397440.

The previous prime is 34625766397. The next prime is 34625766403. The reversal of 34625766400 is 466752643.

The square root of 34625766400 is 186080.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (34625766397) and next prime (34625766403).

It can be written as a sum of positive squares in only one way, i.e., 12465275904 + 22160490496 = 111648^2 + 148864^2 .

It is a super-3 number, since 3×34625766400³ (a number of 33 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34625766403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 29772219 + ... + 29773381.

Almost surely, 2^34625766400 is an apocalyptic number.

34625766400 is the 186080-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34625766400

34625766400 is an abundant number, since it is smaller than the sum of its proper divisors (51278068581).

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

34625766400 is an frugal number, since it uses more digits than its factorization.

34625766400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2356 (or 1170 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 43.

It can be divided in two parts, 34625 and 766400, that added together give a square (801025 = 895²).

The spelling of 34625766400 in words is "thirty-four billion, six hundred twenty-five million, seven hundred sixty-six thousand, four hundred".