3425540751360 has 2880 divisors, whose sum is σ = 15901899546624. Its totient is φ = 687970713600.

The previous prime is 3425540751277. The next prime is 3425540751383. The reversal of 3425540751360 is 631570455243.

3425540751360 is a `hidden beast` number, since 3 + 4 + 2 + 5 + 540 + 75 + 1 + 36 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 56156405730 + ... + 56156405790.

Almost surely, 2^{3425540751360} is an apocalyptic number.

3425540751360 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 3425540751360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7950949773312).

3425540751360 is an abundant number, since it is smaller than the sum of its proper divisors (12476358795264).

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

3425540751360 is an equidigital number, since it uses as much as digits as its factorization.

3425540751360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 45.

The spelling of 3425540751360 in words is "three trillion, four hundred twenty-five billion, five hundred forty million, seven hundred fifty-one thousand, three hundred sixty".