3901615140 has 96 divisors (see below), whose sum is σ = 11151302400. Its totient is φ = 1018907136.

The previous prime is 3901615117. The next prime is 3901615163. The reversal of 3901615140 is 415161093.

It is an interprime number because it is at equal distance from previous prime (3901615117) and next prime (3901615163).

It is a super-3 number, since 3×3901615140³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3901615098 and 3901615107.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2788161 + ... + 2789559.

It is an arithmetic number, because the mean of its divisors is an integer number (116159400).

Almost surely, 2^3901615140 is an apocalyptic number.

3901615140 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 3901615140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5575651200).

3901615140 is an abundant number, since it is smaller than the sum of its proper divisors (7249687260).

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

3901615140 is a wasteful number, since it uses less digits than its factorization.

3901615140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2341 (or 2339 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 3901615140 is about 62462.9101147233. The cubic root of 3901615140 is about 1574.2781796973.

The spelling of 3901615140 in words is "three billion, nine hundred one million, six hundred fifteen thousand, one hundred forty".