3967400640 has 672 divisors, whose sum is σ = 16178296320. Its totient is φ = 817496064.

The previous prime is 3967400609. The next prime is 3967400669. The reversal of 3967400640 is 460047693.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20556384 + ... + 20556576.

Almost surely, 2^3967400640 is an apocalyptic number.

3967400640 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 3967400640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8089148160).

3967400640 is an abundant number, since it is smaller than the sum of its proper divisors (12210895680).

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

3967400640 is a wasteful number, since it uses less digits than its factorization.

3967400640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 39.

The square root of 3967400640 is about 62987.3053876732. The cubic root of 3967400640 is about 1583.0769287726.

The spelling of 3967400640 in words is "three billion, nine hundred sixty-seven million, four hundred thousand, six hundred forty".