3669957720 has 480 divisors, whose sum is σ = 14656284720. Its totient is φ = 812021760.

The previous prime is 3669957713. The next prime is 3669957727. The reversal of 3669957720 is 277599663.

3669957720 is a `hidden beast` number, since 3 + 6 + 69 + 9 + 577 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3669957713) and next prime (3669957727).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3669957727) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 41235436 + ... + 41235524.

Almost surely, 2^3669957720 is an apocalyptic number.

3669957720 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 3669957720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7328142360).

3669957720 is an abundant number, since it is smaller than the sum of its proper divisors (10986327000).

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

3669957720 is a wasteful number, since it uses less digits than its factorization.

3669957720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 4286520, while the sum is 54.

The square root of 3669957720 is about 60580.1759654097. The cubic root of 3669957720 is about 1542.4828840892.

The spelling of 3669957720 in words is "three billion, six hundred sixty-nine million, nine hundred fifty-seven thousand, seven hundred twenty".