3468600757440 has 1344 divisors, whose sum is σ = 15411078144000. Its totient is φ = 727929151488.

The previous prime is 3468600757357. The next prime is 3468600757487. The reversal of 3468600757440 is 447570068643.

3468600757440 is a `hidden beast` number, since 3 + 4 + 6 + 8 + 60 + 0 + 7 + 574 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1095230737 + ... + 1095233903.

It is an arithmetic number, because the mean of its divisors is an integer number (11466576000).

Almost surely, 2^{3468600757440} is an apocalyptic number.

3468600757440 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 3468600757440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7705539072000).

3468600757440 is an abundant number, since it is smaller than the sum of its proper divisors (11942477386560).

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

3468600757440 is a wasteful number, since it uses less digits than its factorization.

3468600757440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3419 (or 3396 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 54.

The spelling of 3468600757440 in words is "three trillion, four hundred sixty-eight billion, six hundred million, seven hundred fifty-seven thousand, four hundred forty".