3730022400 has 336 divisors, whose sum is σ = 13310335584. Its totient is φ = 916193280.

The previous prime is 3730022371. The next prime is 3730022423. The reversal of 3730022400 is 42200373.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7986967 + ... + 7987433.

It is an arithmetic number, because the mean of its divisors is an integer number (39614094).

Almost surely, 2^3730022400 is an apocalyptic number.

3730022400 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 3730022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6655167792).

3730022400 is an abundant number, since it is smaller than the sum of its proper divisors (9580313184).

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

3730022400 is a wasteful number, since it uses less digits than its factorization.

3730022400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 21.

The square root of 3730022400 is about 61073.9093230489. The cubic root of 3730022400 is about 1550.8524481963.

Adding to 3730022400 its reverse (42200373), we get a palindrome (3772222773).

The spelling of 3730022400 in words is "three billion, seven hundred thirty million, twenty-two thousand, four hundred".