3468690156960 has 2592 divisors, whose sum is σ = 15588551684160. Its totient is φ = 698039451648.

The previous prime is 3468690156959. The next prime is 3468690156961. The reversal of 3468690156960 is 696510968643.

3468690156960 is a `hidden beast` number, since 3 + 4 + 6 + 8 + 6 + 9 + 0 + 1 + 569 + 60 = 666.

3468690156960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3468690156959) and next prime (3468690156961).

It is a super-2 number, since 2×3468690156960² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (3468690156961) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 47516303484 + ... + 47516303556.

It is an arithmetic number, because the mean of its divisors is an integer number (6014101730).

Almost surely, 2^{3468690156960} is an apocalyptic number.

3468690156960 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 3468690156960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7794275842080).

3468690156960 is an abundant number, since it is smaller than the sum of its proper divisors (12119861527200).

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

3468690156960 is a wasteful number, since it uses less digits than its factorization.

3468690156960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 50388480, while the sum is 63.

The spelling of 3468690156960 in words is "three trillion, four hundred sixty-eight billion, six hundred ninety million, one hundred fifty-six thousand, nine hundred sixty".