3964343400 has 72 divisors (see below), whose sum is σ = 13313592630. Its totient is φ = 1057157760.

The previous prime is 3964343371. The next prime is 3964343401. The reversal of 3964343400 is 43434693.

It is a happy number.

3964343400 is a `hidden beast` number, since 3 + 9 + 643 + 4 + 3 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 3506297796 + 458045604 = 59214^2 + 21402^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3964343401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1099407 + ... + 1103006.

Almost surely, 2^3964343400 is an apocalyptic number.

3964343400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3964343400 is an abundant number, since it is smaller than the sum of its proper divisors (9349249230).

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

3964343400 is a wasteful number, since it uses less digits than its factorization.

3964343400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2202435 (or 2202423 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The square root of 3964343400 is about 62963.0320108554. The cubic root of 3964343400 is about 1582.6701897629.

The spelling of 3964343400 in words is "three billion, nine hundred sixty-four million, three hundred forty-three thousand, four hundred".