3153745152000 has 768 divisors, whose sum is σ = 11728735200000. Its totient is φ = 835972300800.

The previous prime is 3153745151989. The next prime is 3153745152049. The reversal of 3153745152000 is 2515473513.

3153745152000 is a `hidden beast` number, since 3 + 1 + 53 + 74 + 515 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×3153745152000² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1237246726 + ... + 1237249274.

It is an arithmetic number, because the mean of its divisors is an integer number (15271790625).

Almost surely, 2^{3153745152000} is an apocalyptic number.

3153745152000 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 3153745152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5864367600000).

3153745152000 is an abundant number, since it is smaller than the sum of its proper divisors (8574990048000).

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

3153745152000 is a wasteful number, since it uses less digits than its factorization.

3153745152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2774 (or 2738 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The spelling of 3153745152000 in words is "three trillion, one hundred fifty-three billion, seven hundred forty-five million, one hundred fifty-two thousand".