3879296640 has 384 divisors, whose sum is σ = 14327960400. Its totient is φ = 963772416.

The previous prime is 3879296639. The next prime is 3879296683. The reversal of 3879296640 is 466929783.

It is a happy number.

3879296640 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 3713196096 + 166100544 = 60936^2 + 12888^2 .

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×3879296640² = 30097884842230579200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16940046 + ... + 16940274.

Almost surely, 2^3879296640 is an apocalyptic number.

3879296640 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 3879296640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7163980200).

3879296640 is an abundant number, since it is smaller than the sum of its proper divisors (10448663760).

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

3879296640 is a wasteful number, since it uses less digits than its factorization.

3879296640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The square root of 3879296640 is about 62283.9998715561. Note that the first 3 decimals coincide. The cubic root of 3879296640 is about 1571.2706443100.

The spelling of 3879296640 in words is "three billion, eight hundred seventy-nine million, two hundred ninety-six thousand, six hundred forty".