3917473960 has 64 divisors (see below), whose sum is σ = 9295560000. Its totient is φ = 1481743872.

The previous prime is 3917473949. The next prime is 3917474003. The reversal of 3917473960 is 693747193.

It is a happy 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 15 ways as a sum of consecutive naturals, for example, 427911 + ... + 436969.

It is an arithmetic number, because the mean of its divisors is an integer number (145243125).

Almost surely, 2^3917473960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3917473960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4647780000).

3917473960 is an abundant number, since it is smaller than the sum of its proper divisors (5378086040).

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

3917473960 is a wasteful number, since it uses less digits than its factorization.

3917473960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9658 (or 9654 counting only the distinct ones).

The product of its (nonzero) digits is 857304, while the sum is 49.

The square root of 3917473960 is about 62589.7272721331. The cubic root of 3917473960 is about 1576.4082756559.

The spelling of 3917473960 in words is "three billion, nine hundred seventeen million, four hundred seventy-three thousand, nine hundred sixty".