3785364 has 72 divisors (see below), whose sum is σ = 10657920. Its totient is φ = 1132560.

The previous prime is 3785357. The next prime is 3785371. The reversal of 3785364 is 4635873.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3785357) and next prime (3785371).

It is a super-2 number, since 2×3785364² = 28657961224992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 3 + 7⁶ + 8⁵ + 5⁹ + 3⁷ + 6⁸ + 4² .

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, 47877 + ... + 47955.

Almost surely, 2^3785364 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 3785364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5328960).

3785364 is an abundant number, since it is smaller than the sum of its proper divisors (6872556).

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

3785364 is a wasteful number, since it uses less digits than its factorization.

3785364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 95 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 3785364 is about 1945.6011924338. The cubic root of 3785364 is about 155.8484721932.

The spelling of 3785364 in words is "three million, seven hundred eighty-five thousand, three hundred sixty-four".