3947374080 has 640 divisors, whose sum is σ = 15838986240. Its totient is φ = 924549120.

The previous prime is 3947374061. The next prime is 3947374091. The reversal of 3947374080 is 804737493.

It is a happy number.

3947374080 is a `hidden beast` number, since 39 + 473 + 74 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20666785 + ... + 20666975.

It is an arithmetic number, because the mean of its divisors is an integer number (24748416).

Almost surely, 2^3947374080 is an apocalyptic number.

3947374080 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 3947374080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7919493120).

3947374080 is an abundant number, since it is smaller than the sum of its proper divisors (11891612160).

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

3947374080 is a wasteful number, since it uses less digits than its factorization.

3947374080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 3947374080 is about 62828.1312789104. The cubic root of 3947374080 is about 1580.4087603414.

The spelling of 3947374080 in words is "three billion, nine hundred forty-seven million, three hundred seventy-four thousand, eighty".