3753734400 has 540 divisors, whose sum is σ = 14973736932. Its totient is φ = 922337280.

The previous prime is 3753734371. The next prime is 3753734401. The reversal of 3753734400 is 44373573.

It can be written as a sum of positive squares in 6 ways, for example, as 1125736704 + 2627997696 = 33552^2 + 51264^2 .

It is a tau number, because it is divible by the number of its divisors (540).

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 (3753734401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 6738922 + ... + 6739478.

Almost surely, 2^3753734400 is an apocalyptic number.

3753734400 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 3753734400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7486868466).

3753734400 is an abundant number, since it is smaller than the sum of its proper divisors (11220002532).

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

3753734400 is a wasteful number, since it uses less digits than its factorization.

3753734400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 36.

The square root of 3753734400 is about 61267.7272305738. The cubic root of 3753734400 is about 1554.1317996172.

The spelling of 3753734400 in words is "three billion, seven hundred fifty-three million, seven hundred thirty-four thousand, four hundred".