3617616420 has 144 divisors (see below), whose sum is σ = 12115801152. Its totient is φ = 866392320.

The previous prime is 3617616413. The next prime is 3617616421. The reversal of 3617616420 is 246167163.

It is a happy number.

3617616420 is a `hidden beast` number, since 3 + 6 + 1 + 7 + 6 + 1 + 642 + 0 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3617616421) 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, 153334 + ... + 175346.

It is an arithmetic number, because the mean of its divisors is an integer number (84137508).

Almost surely, 2^3617616420 is an apocalyptic number.

3617616420 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 3617616420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6057900576).

3617616420 is an abundant number, since it is smaller than the sum of its proper divisors (8498184732).

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

3617616420 is a wasteful number, since it uses less digits than its factorization.

3617616420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22122 (or 22117 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 3617616420 is about 60146.6243441808. The cubic root of 3617616420 is about 1535.1147293352.

The spelling of 3617616420 in words is "three billion, six hundred seventeen million, six hundred sixteen thousand, four hundred twenty".