3964753800 has 288 divisors, whose sum is σ = 15879876480. Its totient is φ = 866764800.

The previous prime is 3964753781. The next prime is 3964753801. The reversal of 3964753800 is 83574693.

It is a super-2 number, since 2×3964753800² = 31438545389228880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3964753801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 282960 + ... + 296640.

It is an arithmetic number, because the mean of its divisors is an integer number (55138460).

Almost surely, 2^3964753800 is an apocalyptic number.

3964753800 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 3964753800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7939938240).

3964753800 is an abundant number, since it is smaller than the sum of its proper divisors (11915122680).

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

3964753800 is a wasteful number, since it uses less digits than its factorization.

3964753800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13733 (or 13721 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 3964753800 is about 62966.2909817626. The cubic root of 3964753800 is about 1582.7248020377.

The spelling of 3964753800 in words is "three billion, nine hundred sixty-four million, seven hundred fifty-three thousand, eight hundred".