3964290048 has 132 divisors (see below), whose sum is σ = 11484456048. Its totient is φ = 1317089280.

The previous prime is 3964290047. The next prime is 3964290107. The reversal of 3964290048 is 8400924693.

It is a junction number, because it is equal to n+sod(n) for n = 3964289985 and 3964290012.

It is not an unprimeable number, because it can be changed into a prime (3964290047) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4082203 + ... + 4083173.

Almost surely, 2^3964290048 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 3964290048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5742228024).

3964290048 is an abundant number, since it is smaller than the sum of its proper divisors (7520166000).

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

3964290048 is a wasteful number, since it uses less digits than its factorization.

3964290048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1440 (or 1419 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 3964290048 is about 62962.6083322475. The cubic root of 3964290048 is about 1582.6630898904.

The spelling of 3964290048 in words is "three billion, nine hundred sixty-four million, two hundred ninety thousand, forty-eight".