3742816 has 96 divisors (see below), whose sum is σ = 9676800. Its totient is φ = 1411200.

The previous prime is 3742793. The next prime is 3742841. The reversal of 3742816 is 6182473.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120721 + ... + 120751.

It is an arithmetic number, because the mean of its divisors is an integer number (100800).

Almost surely, 2^3742816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3742816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4838400).

3742816 is an abundant number, since it is smaller than the sum of its proper divisors (5933984).

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

3742816 is a wasteful number, since it uses less digits than its factorization.

3742816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 51 counting only the distinct ones).

The product of its digits is 8064, while the sum is 31.

The square root of 3742816 is about 1934.6358830540. The cubic root of 3742816 is about 155.2623513951.

The spelling of 3742816 in words is "three million, seven hundred forty-two thousand, eight hundred sixteen".