3971401560 has 192 divisors, whose sum is σ = 14774460480. Its totient is φ = 906301440.

The previous prime is 3971401541. The next prime is 3971401561. The reversal of 3971401560 is 651041793.

3971401560 is a `hidden beast` number, since 3 + 97 + 1 + 4 + 0 + 1 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3971401561) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3005700 + ... + 3007020.

It is an arithmetic number, because the mean of its divisors is an integer number (76950315).

Almost surely, 2^3971401560 is an apocalyptic number.

3971401560 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 3971401560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7387230240).

3971401560 is an abundant number, since it is smaller than the sum of its proper divisors (10803058920).

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

3971401560 is a wasteful number, since it uses less digits than its factorization.

3971401560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2538 (or 2531 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 3971401560 is about 63019.0571176688. The cubic root of 3971401560 is about 1583.6089006117.

The spelling of 3971401560 in words is "three billion, nine hundred seventy-one million, four hundred one thousand, five hundred sixty".