3748800 has 168 divisors, whose sum is σ = 13606272. Its totient is φ = 896000.

The previous prime is 3748781. The next prime is 3748813. The reversal of 3748800 is 88473.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent 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, 52765 + ... + 52835.

Almost surely, 2^3748800 is an apocalyptic number.

3748800 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 3748800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6803136).

3748800 is an abundant number, since it is smaller than the sum of its proper divisors (9857472).

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

3748800 is a wasteful number, since it uses less digits than its factorization.

3748800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 3748800 is about 1936.1818096450. The cubic root of 3748800 is about 155.3450516230.

The spelling of 3748800 in words is "three million, seven hundred forty-eight thousand, eight hundred".