3791634 has 64 divisors (see below), whose sum is σ = 9815040. Its totient is φ = 947520.

The previous prime is 3791569. The next prime is 3791647. The reversal of 3791634 is 4361973.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 3791595 and 3791604.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13257 + ... + 13539.

It is an arithmetic number, because the mean of its divisors is an integer number (153360).

Almost surely, 2^3791634 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3791634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4907520).

3791634 is an abundant number, since it is smaller than the sum of its proper divisors (6023406).

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

3791634 is a wasteful number, since it uses less digits than its factorization.

3791634 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335.

The product of its digits is 13608, while the sum is 33.

The square root of 3791634 is about 1947.2118528809. The cubic root of 3791634 is about 155.9344728081.

It can be divided in two parts, 37916 and 34, that added together give a triangular number (37950 = T₂₇₅).

The spelling of 3791634 in words is "three million, seven hundred ninety-one thousand, six hundred thirty-four".