3926952480 has 192 divisors, whose sum is σ = 13526352000. Its totient is φ = 949739520.

The previous prime is 3926952467. The next prime is 3926952521. The reversal of 3926952480 is 842596293.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3742996 + ... + 3744044.

It is an arithmetic number, because the mean of its divisors is an integer number (70449750).

Almost surely, 2^3926952480 is an apocalyptic number.

3926952480 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 3926952480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6763176000).

3926952480 is an abundant number, since it is smaller than the sum of its proper divisors (9599399520).

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

3926952480 is a wasteful number, since it uses less digits than its factorization.

3926952480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1787 (or 1779 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The square root of 3926952480 is about 62665.4009801262. The cubic root of 3926952480 is about 1577.6786506231.

The spelling of 3926952480 in words is "three billion, nine hundred twenty-six million, nine hundred fifty-two thousand, four hundred eighty".