3947207040 has 384 divisors, whose sum is σ = 15682867200. Its totient is φ = 896126976.

The previous prime is 3947206993. The next prime is 3947207083. The reversal of 3947207040 is 407027493.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a junction number, because it is equal to n+sod(n) for n = 3947206986 and 3947207004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8991141 + ... + 8991579.

It is an arithmetic number, because the mean of its divisors is an integer number (40840800).

Almost surely, 2^3947207040 is an apocalyptic number.

3947207040 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 3947207040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7841433600).

3947207040 is an abundant number, since it is smaller than the sum of its proper divisors (11735660160).

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

3947207040 is a wasteful number, since it uses less digits than its factorization.

3947207040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 3947207040 is about 62826.8019240197. The cubic root of 3947207040 is about 1580.3864674451.

The spelling of 3947207040 in words is "three billion, nine hundred forty-seven million, two hundred seven thousand, forty".