3733408 has 36 divisors (see below), whose sum is σ = 8553762. Its totient is φ = 1599360.

The previous prime is 3733399. The next prime is 3733417. The reversal of 3733408 is 8043373.

It is an interprime number because it is at equal distance from previous prime (3733399) and next prime (3733417).

It can be written as a sum of positive squares in only one way, i.e., 3732624 + 784 = 1932^2 + 28^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 378 + ... + 2758.

Almost surely, 2^3733408 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 3733408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4276881).

3733408 is an abundant number, since it is smaller than the sum of its proper divisors (4820354).

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

3733408 is a wasteful number, since it uses less digits than its factorization.

3733408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2405 (or 2390 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 28.

The square root of 3733408 is about 1932.2028878976. The cubic root of 3733408 is about 155.1321522973.

The spelling of 3733408 in words is "three million, seven hundred thirty-three thousand, four hundred eight".