372740400 has 120 divisors (see below), whose sum is σ = 1326718160. Its totient is φ = 99394560.

The previous prime is 372740387. The next prime is 372740429. The reversal of 372740400 is 4047273.

372740400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6457 + ... + 28056.

Almost surely, 2^372740400 is an apocalyptic number.

372740400 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 372740400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663359080).

372740400 is an abundant number, since it is smaller than the sum of its proper divisors (953977760).

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

372740400 is a wasteful number, since it uses less digits than its factorization.

372740400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34540 (or 34523 counting only the distinct ones).

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

The square root of 372740400 is about 19306.4859567970. The cubic root of 372740400 is about 719.6734630413.

Adding to 372740400 its reverse (4047273), we get a palindrome (376787673).

The spelling of 372740400 in words is "three hundred seventy-two million, seven hundred forty thousand, four hundred".