3667614720 has 528 divisors, whose sum is σ = 14919977088. Its totient is φ = 760381440.

The previous prime is 3667614701. The next prime is 3667614721. The reversal of 3667614720 is 274167663.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (528).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3667614721) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8278819 + ... + 8279261.

Almost surely, 2^3667614720 is an apocalyptic number.

3667614720 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 3667614720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7459988544).

3667614720 is an abundant number, since it is smaller than the sum of its proper divisors (11252362368).

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

3667614720 is a wasteful number, since it uses less digits than its factorization.

3667614720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 42.

The square root of 3667614720 is about 60560.8348687500. The cubic root of 3667614720 is about 1542.1545599825.

The spelling of 3667614720 in words is "three billion, six hundred sixty-seven million, six hundred fourteen thousand, seven hundred twenty".