3964833600 has 672 divisors, whose sum is σ = 16614769920. Its totient is φ = 805109760.

The previous prime is 3964833583. The next prime is 3964833601. The reversal of 3964833600 is 63384693.

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

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3964833601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12667044 + ... + 12667356.

It is an arithmetic number, because the mean of its divisors is an integer number (24724360).

Almost surely, 2^3964833600 is an apocalyptic number.

3964833600 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 3964833600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8307384960).

3964833600 is an abundant number, since it is smaller than the sum of its proper divisors (12649936320).

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

3964833600 is a wasteful number, since it uses less digits than its factorization.

3964833600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 42.

The square root of 3964833600 is about 62966.9246509626. The cubic root of 3964833600 is about 1582.7354206535.

The spelling of 3964833600 in words is "three billion, nine hundred sixty-four million, eight hundred thirty-three thousand, six hundred".