3901536799056 has 240 divisors, whose sum is σ = 12587679336960. Its totient is φ = 1161747463680.

The previous prime is 3901536799031. The next prime is 3901536799081. The reversal of 3901536799056 is 6509976351093.

3901536799056 is a `hidden beast` number, since 3 + 9 + 0 + 1 + 536 + 7 + 9 + 90 + 5 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (3901536799031) and next prime (3901536799081).

It is a super-2 number, since 2×3901536799056² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3901536798984 and 3901536799002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 321850 + ... + 2811878.

It is an arithmetic number, because the mean of its divisors is an integer number (52448663904).

Almost surely, 2^{3901536799056} is an apocalyptic number.

3901536799056 is a gapful number since it is divisible by the number (36) 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 3901536799056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6293839668480).

3901536799056 is an abundant number, since it is smaller than the sum of its proper divisors (8686142537904).

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

3901536799056 is a wasteful number, since it uses less digits than its factorization.

3901536799056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2490096 (or 2490078 counting only the distinct ones).

The product of its (nonzero) digits is 41334300, while the sum is 63.

The spelling of 3901536799056 in words is "three trillion, nine hundred one billion, five hundred thirty-six million, seven hundred ninety-nine thousand, fifty-six".