3153763441920 has 576 divisors, whose sum is σ = 12417230536704. Its totient is φ = 664308449280.

The previous prime is 3153763441901. The next prime is 3153763441967. The reversal of 3153763441920 is 291443673513.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3153763441920.

It is a congruent number.

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, 220489489 + ... + 220503791.

It is an arithmetic number, because the mean of its divisors is an integer number (21557691904).

Almost surely, 2^{3153763441920} is an apocalyptic number.

3153763441920 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 3153763441920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6208615268352).

3153763441920 is an abundant number, since it is smaller than the sum of its proper divisors (9263467094784).

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

3153763441920 is a wasteful number, since it uses less digits than its factorization.

3153763441920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14978 (or 14964 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 48.

The spelling of 3153763441920 in words is "three trillion, one hundred fifty-three billion, seven hundred sixty-three million, four hundred forty-one thousand, nine hundred twenty".