3670954560 has 1344 divisors, whose sum is σ = 17512588800. Its totient is φ = 715309056.

The previous prime is 3670954523. The next prime is 3670954561. The reversal of 3670954560 is 654590763.

3670954560 is a `hidden beast` number, since 36 + 7 + 0 + 9 + 54 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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 (3670954561) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 126584626 + ... + 126584654.

It is an arithmetic number, because the mean of its divisors is an integer number (13030200).

Almost surely, 2^3670954560 is an apocalyptic number.

3670954560 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 3670954560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8756294400).

3670954560 is an abundant number, since it is smaller than the sum of its proper divisors (13841634240).

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

3670954560 is a wasteful number, since it uses less digits than its factorization.

3670954560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The square root of 3670954560 is about 60588.4028507106. The cubic root of 3670954560 is about 1542.6225286992.

The spelling of 3670954560 in words is "three billion, six hundred seventy million, nine hundred fifty-four thousand, five hundred sixty".