3164610889440 has 4608 divisors, whose sum is σ = 16143094775808. Its totient is φ = 564350976000.

The previous prime is 3164610889351. The next prime is 3164610889463. The reversal of 3164610889440 is 449880164613.

3164610889440 is a `hidden beast` number, since 3 + 1 + 64 + 61 + 0 + 8 + 89 + 440 = 666.

It is a super-4 number, since 4×3164610889440⁴ (a number of 51 digits) contains 4444 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 51878867010 + ... + 51878867070.

It is an arithmetic number, because the mean of its divisors is an integer number (3503275776).

Almost surely, 2^{3164610889440} is an apocalyptic number.

3164610889440 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 3164610889440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8071547387904).

3164610889440 is an abundant number, since it is smaller than the sum of its proper divisors (12978483886368).

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

3164610889440 is a wasteful number, since it uses less digits than its factorization.

3164610889440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 3164610889440 in words is "three trillion, one hundred sixty-four billion, six hundred ten million, eight hundred eighty-nine thousand, four hundred forty".