4374770400 has 864 divisors, whose sum is σ = 20746672128. Its totient is φ = 837734400.

The previous prime is 4374770381. The next prime is 4374770417. The reversal of 4374770400 is 40774734.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7206897 + ... + 7207503.

It is an arithmetic number, because the mean of its divisors is an integer number (24012352).

Almost surely, 2^4374770400 is an apocalyptic number.

4374770400 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 4374770400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10373336064).

4374770400 is an abundant number, since it is smaller than the sum of its proper divisors (16371901728).

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

4374770400 is a wasteful number, since it uses less digits than its factorization.

4374770400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 65856, while the sum is 36.

The square root of 4374770400 is about 66142.0471409829. The cubic root of 4374770400 is about 1635.5045436671.

The spelling of 4374770400 in words is "four billion, three hundred seventy-four million, seven hundred seventy thousand, four hundred".