4374972000 has 576 divisors, whose sum is σ = 18430723584. Its totient is φ = 998438400.

The previous prime is 4374971971. The next prime is 4374972001. The reversal of 4374972000 is 2794734.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4374972001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6803679 + ... + 6804321.

It is an arithmetic number, because the mean of its divisors is an integer number (31997784).

Almost surely, 2^4374972000 is an apocalyptic number.

4374972000 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 4374972000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9215361792).

4374972000 is an abundant number, since it is smaller than the sum of its proper divisors (14055751584).

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

4374972000 is an equidigital number, since it uses as much as digits as its factorization.

4374972000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 4374972000 is about 66143.5711161712. The cubic root of 4374972000 is about 1635.5296659495.

It can be divided in two parts, 4374 and 972000, that multiplied together give a cube (4251528000 = 1620³).

The spelling of 4374972000 in words is "four billion, three hundred seventy-four million, nine hundred seventy-two thousand".