3426250752000 has 1280 divisors, whose sum is σ = 13360017528000. Its totient is φ = 871995801600.

The previous prime is 3426250751953. The next prime is 3426250752007. The reversal of 3426250752000 is 2570526243.

3426250752000 is a `hidden beast` number, since 3 + 4 + 2 + 625 + 0 + 7 + 5 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3426250752007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7630847776 + ... + 7630848224.

Almost surely, 2^{3426250752000} is an apocalyptic number.

3426250752000 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 3426250752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6680008764000).

3426250752000 is an abundant number, since it is smaller than the sum of its proper divisors (9933766776000).

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

3426250752000 is an frugal number, since it uses more digits than its factorization.

3426250752000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 482 counting only the distinct ones).

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

The spelling of 3426250752000 in words is "three trillion, four hundred twenty-six billion, two hundred fifty million, seven hundred fifty-two thousand".