3896948640 has 192 divisors, whose sum is σ = 13915843200. Its totient is φ = 908734464.

The previous prime is 3896948633. The next prime is 3896948683. The reversal of 3896948640 is 468496983.

It is a Harshad number since it is a multiple of its sum of digits (57).

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, 102126 + ... + 134994.

It is an arithmetic number, because the mean of its divisors is an integer number (72478350).

Almost surely, 2^3896948640 is an apocalyptic number.

3896948640 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 3896948640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6957921600).

3896948640 is an abundant number, since it is smaller than the sum of its proper divisors (10018894560).

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

3896948640 is a wasteful number, since it uses less digits than its factorization.

3896948640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32919 (or 32911 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 57.

The square root of 3896948640 is about 62425.5447713514. The cubic root of 3896948640 is about 1573.6502944355.

The spelling of 3896948640 in words is "three billion, eight hundred ninety-six million, nine hundred forty-eight thousand, six hundred forty".