3742800 has 60 divisors (see below), whose sum is σ = 11993280. Its totient is φ = 997760.

The previous prime is 3742793. The next prime is 3742841. The reversal of 3742800 is 82473.

It is a tau number, because it is divible by the number of its divisors (60).

It is a hoax number, since the sum of its digits (24) 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 (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 360 + ... + 2759.

It is an arithmetic number, because the mean of its divisors is an integer number (199888).

Almost surely, 2^3742800 is an apocalyptic number.

3742800 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 3742800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5996640).

3742800 is an abundant number, since it is smaller than the sum of its proper divisors (8250480).

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

3742800 is a wasteful number, since it uses less digits than its factorization.

3742800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3140 (or 3129 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 3742800 is about 1934.6317479045. The cubic root of 3742800 is about 155.2621301534.

The spelling of 3742800 in words is "three million, seven hundred forty-two thousand, eight hundred".