3647501161920 has 2688 divisors, whose sum is σ = 16919278092288. Its totient is φ = 699007795200.

The previous prime is 3647501161903. The next prime is 3647501161921. The reversal of 3647501161920 is 291611057463.

3647501161920 is a `hidden beast` number, since 3 + 6 + 4 + 7 + 5 + 0 + 1 + 1 + 619 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3647501161921) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 27843520255 + ... + 27843520385.

Almost surely, 2^{3647501161920} is an apocalyptic number.

3647501161920 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 3647501161920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8459639046144).

3647501161920 is an abundant number, since it is smaller than the sum of its proper divisors (13271776930368).

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

3647501161920 is a wasteful number, since it uses less digits than its factorization.

3647501161920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 3647501161920 in words is "three trillion, six hundred forty-seven billion, five hundred one million, one hundred sixty-one thousand, nine hundred twenty".