34626143906400 has 288 divisors, whose sum is σ = 115847311860000. Its totient is φ = 8976858808320.

The previous prime is 34626143906297. The next prime is 34626143906401. The reversal of 34626143906400 is 460934162643.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 34626143906400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34626143906401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 110755102 + ... + 111067298.

It is an arithmetic number, because the mean of its divisors is an integer number (402247610625).

Almost surely, 2^{34626143906400} is an apocalyptic number.

34626143906400 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 34626143906400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57923655930000).

34626143906400 is an abundant number, since it is smaller than the sum of its proper divisors (81221167953600).

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

34626143906400 is a wasteful number, since it uses less digits than its factorization.

34626143906400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313506 (or 313493 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 48.

The spelling of 34626143906400 in words is "thirty-four trillion, six hundred twenty-six billion, one hundred forty-three million, nine hundred six thousand, four hundred".