34006025750400 has 1344 divisors, whose sum is σ = 142141773661200. Its totient is φ = 7959438950400.

The previous prime is 34006025750339. The next prime is 34006025750503. The reversal of 34006025750400 is 405752060043.

34006025750400 is a `hidden beast` number, since 3 + 4 + 0 + 0 + 602 + 5 + 7 + 5 + 0 + 40 + 0 = 666.

It is a super-3 number, since 3×34006025750400³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 167 ways as a sum of consecutive naturals, for example, 744140352 + ... + 744186048.

Almost surely, 2^{34006025750400} is an apocalyptic number.

34006025750400 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 34006025750400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71070886830600).

34006025750400 is an abundant number, since it is smaller than the sum of its proper divisors (108135747910800).

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

34006025750400 is a wasteful number, since it uses less digits than its factorization.

34006025750400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45779 (or 45747 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The spelling of 34006025750400 in words is "thirty-four trillion, six billion, twenty-five million, seven hundred fifty thousand, four hundred".