3959249374080 has 3072 divisors, whose sum is σ = 19203100600320. Its totient is φ = 725235793920.

The previous prime is 3959249374039. The next prime is 3959249374099. The reversal of 3959249374080 is 804739429593.

3959249374080 is a `hidden beast` number, since 3 + 9 + 592 + 4 + 9 + 37 + 4 + 0 + 8 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3959249373999 and 3959249374017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 14293318902 + ... + 14293319178.

It is an arithmetic number, because the mean of its divisors is an integer number (6251009310).

Almost surely, 2^{3959249374080} is an apocalyptic number.

3959249374080 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 3959249374080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9601550300160).

3959249374080 is an abundant number, since it is smaller than the sum of its proper divisors (15243851226240).

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

3959249374080 is a wasteful number, since it uses less digits than its factorization.

3959249374080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 3959249374080 in words is "three trillion, nine hundred fifty-nine billion, two hundred forty-nine million, three hundred seventy-four thousand, eighty".