3872966400 has 540 divisors, whose sum is σ = 14843397184. Its totient is φ = 995328000.

The previous prime is 3872966353. The next prime is 3872966413. The reversal of 3872966400 is 46692783.

It is a tau number, because it is divible by the number of its divisors (540).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 16070280 + ... + 16070520.

Almost surely, 2^3872966400 is an apocalyptic number.

3872966400 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 3872966400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7421698592).

3872966400 is an abundant number, since it is smaller than the sum of its proper divisors (10970430784).

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

3872966400 is a wasteful number, since it uses less digits than its factorization.

3872966400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 3872966400 is about 62233.1615780526. The cubic root of 3872966400 is about 1570.4155120215.

The spelling of 3872966400 in words is "three billion, eight hundred seventy-two million, nine hundred sixty-six thousand, four hundred".