3756830400 has 252 divisors, whose sum is σ = 13411059792. Its totient is φ = 997447680.

The previous prime is 3756830381. The next prime is 3756830401. The reversal of 3756830400 is 40386573.

It is a happy number.

It is a super-2 number, since 2×3756830400² = 28227549308728320000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3756830401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4564389 + ... + 4565211.

Almost surely, 2^3756830400 is an apocalyptic number.

3756830400 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 3756830400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6705529896).

3756830400 is an abundant number, since it is smaller than the sum of its proper divisors (9654229392).

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

3756830400 is a wasteful number, since it uses less digits than its factorization.

3756830400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1168 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 3756830400 is about 61292.9881797257. The cubic root of 3756830400 is about 1554.5589537800.

The spelling of 3756830400 in words is "three billion, seven hundred fifty-six million, eight hundred thirty thousand, four hundred".