3901598159004 has 576 divisors, whose sum is σ = 12765152225280. Its totient is φ = 977424537600.

The previous prime is 3901598158973. The next prime is 3901598159027. The reversal of 3901598159004 is 4009518951093.

3901598159004 is a `hidden beast` number, since 39 + 0 + 1 + 598 + 15 + 9 + 0 + 0 + 4 = 666.

3901598159004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1079875902 + ... + 1079879514.

Almost surely, 2^{3901598159004} 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 3901598159004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6382576112640).

3901598159004 is an abundant number, since it is smaller than the sum of its proper divisors (8863554066276).

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

3901598159004 is a wasteful number, since it uses less digits than its factorization.

3901598159004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3890 (or 3885 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 54.

The spelling of 3901598159004 in words is "three trillion, nine hundred one billion, five hundred ninety-eight million, one hundred fifty-nine thousand, four".