3907901681320 has 256 divisors, whose sum is σ = 11172026557440. Its totient is φ = 1197116817408.

The previous prime is 3907901681263. The next prime is 3907901681377. The reversal of 3907901681320 is 231861097093.

It is an interprime number because it is at equal distance from previous prime (3907901681263) and next prime (3907901681377).

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, 25918069 + ... + 26068411.

It is an arithmetic number, because the mean of its divisors is an integer number (43640728740).

Almost surely, 2^{3907901681320} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3907901681320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5586013278720).

3907901681320 is an abundant number, since it is smaller than the sum of its proper divisors (7264124876120).

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

3907901681320 is a wasteful number, since it uses less digits than its factorization.

3907901681320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150604 (or 150600 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 49.

The spelling of 3907901681320 in words is "three trillion, nine hundred seven billion, nine hundred one million, six hundred eighty-one thousand, three hundred twenty".