3676400640 has 264 divisors, whose sum is σ = 13898605968. Its totient is φ = 891125760.

The previous prime is 3676400537. The next prime is 3676400641. The reversal of 3676400640 is 460046763.

3676400640 is a `hidden beast` number, since 3 + 6 + 7 + 6 + 4 + 0 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (264).

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 = 3676400595 and 3676400604.

It is not an unprimeable number, because it can be changed into a prime (3676400641) 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, 503254 + ... + 510506.

Almost surely, 2^3676400640 is an apocalyptic number.

3676400640 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 3676400640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6949302984).

3676400640 is an abundant number, since it is smaller than the sum of its proper divisors (10222205328).

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

3676400640 is a wasteful number, since it uses less digits than its factorization.

3676400640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7295 (or 7274 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 3676400640 is about 60633.3294484148. The cubic root of 3676400640 is about 1543.3850092658.

The spelling of 3676400640 in words is "three billion, six hundred seventy-six million, four hundred thousand, six hundred forty".