4372070400 has 288 divisors, whose sum is σ = 15687899370. Its totient is φ = 1163919360.

The previous prime is 4372070369. The next prime is 4372070429. The reversal of 4372070400 is 40702734.

It can be written as a sum of positive squares in 3 ways, for example, as 3451797504 + 920272896 = 58752^2 + 30336^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×4372070400² = 38229999165112320000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7372504 + ... + 7373096.

Almost surely, 2^4372070400 is an apocalyptic number.

4372070400 is a gapful number since it is divisible by the number (40) 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 4372070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7843949685).

4372070400 is an abundant number, since it is smaller than the sum of its proper divisors (11315828970).

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

4372070400 is an equidigital number, since it uses as much as digits as its factorization.

4372070400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 4372070400 is about 66121.6333736546. The cubic root of 4372070400 is about 1635.1680101176.

The spelling of 4372070400 in words is "four billion, three hundred seventy-two million, seventy thousand, four hundred".