3647513940 has 216 divisors, whose sum is σ = 12285586656. Its totient is φ = 806198400.

The previous prime is 3647513939. The next prime is 3647513953. The reversal of 3647513940 is 493157463.

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

It is a junction number, because it is equal to n+sod(n) for n = 3647513892 and 3647513901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2824695 + ... + 2825985.

It is an arithmetic number, because the mean of its divisors is an integer number (56877716).

Almost surely, 2^3647513940 is an apocalyptic number.

3647513940 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 3647513940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6142793328).

3647513940 is an abundant number, since it is smaller than the sum of its proper divisors (8638072716).

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

3647513940 is a wasteful number, since it uses less digits than its factorization.

3647513940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1379 (or 1339 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 42.

The square root of 3647513940 is about 60394.6515843911. The cubic root of 3647513940 is about 1539.3320795010.

The spelling of 3647513940 in words is "three billion, six hundred forty-seven million, five hundred thirteen thousand, nine hundred forty".