3698640 has 120 divisors (see below), whose sum is σ = 13579488. Its totient is φ = 894720.

The previous prime is 3698623. The next prime is 3698647. The reversal of 3698640 is 468963.

3698640 = T₁₃₀ + T₁₃₁ + ... + T₂₈₉.

3698640 is a `hidden beast` number, since 3 + 6 + 9 + 8 + 640 = 666.

3698640 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a junction number, because it is equal to n+sod(n) for n = 3698595 and 3698604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3698647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7687 + ... + 8153.

Almost surely, 2^3698640 is an apocalyptic number.

3698640 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 3698640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6789744).

3698640 is an abundant number, since it is smaller than the sum of its proper divisors (9880848).

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

3698640 is a wasteful number, since it uses less digits than its factorization.

3698640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 3698640 is about 1923.1848585094. The cubic root of 3698640 is about 154.6490847368.

It can be divided in two parts, 369 and 8640, that added together give a palindrome (9009).

The spelling of 3698640 in words is "three million, six hundred ninety-eight thousand, six hundred forty".