3668700 has 72 divisors (see below), whose sum is σ = 12138112. Its totient is φ = 838080.

The previous prime is 3668699. The next prime is 3668701. The reversal of 3668700 is 78663.

3668700 = T₅₆ + T₅₇ + ... + T₂₈₀.

It is an interprime number because it is at equal distance from previous prime (3668699) and next prime (3668701).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3668701) 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, 1227 + ... + 2973.

Almost surely, 2^3668700 is an apocalyptic number.

3668700 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 3668700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6069056).

3668700 is an abundant number, since it is smaller than the sum of its proper divisors (8469412).

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

3668700 is a wasteful number, since it uses less digits than its factorization.

3668700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1771 (or 1764 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 3668700 is about 1915.3850787766. The cubic root of 3668700 is about 154.2306657424.

The spelling of 3668700 in words is "three million, six hundred sixty-eight thousand, seven hundred".