3249662976 has 440 divisors, whose sum is σ = 11532306720. Its totient is φ = 891813888.

The previous prime is 3249662869. The next prime is 3249663007. The reversal of 3249662976 is 6792669423.

3249662976 is a `hidden beast` number, since 3 + 2 + 4 + 9 + 6 + 629 + 7 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 16837536 + ... + 16837728.

It is an arithmetic number, because the mean of its divisors is an integer number (26209788).

Almost surely, 2^3249662976 is an apocalyptic number.

3249662976 is a gapful number since it is divisible by the number (36) 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 3249662976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5766153360).

3249662976 is an abundant number, since it is smaller than the sum of its proper divisors (8282643744).

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

3249662976 is a wasteful number, since it uses less digits than its factorization.

3249662976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 234 counting only the distinct ones).

The product of its digits is 5878656, while the sum is 54.

The square root of 3249662976 is about 57005.8152823026. The cubic root of 3249662976 is about 1481.1968307786.

The spelling of 3249662976 in words is "three billion, two hundred forty-nine million, six hundred sixty-two thousand, nine hundred seventy-six".