3621077640 has 96 divisors (see below), whose sum is σ = 11781244800. Its totient is φ = 964575360.

The previous prime is 3621077599. The next prime is 3621077653. The reversal of 3621077640 is 467701263.

3621077640 is a `hidden beast` number, since 3 + 6 + 2 + 1 + 0 + 7 + 7 + 640 = 666.

It is a super-2 number, since 2×3621077640² = 26224406549815939200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 3621077595 and 3621077604.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 361905 + ... + 371775.

It is an arithmetic number, because the mean of its divisors is an integer number (122721300).

Almost surely, 2^3621077640 is an apocalyptic number.

3621077640 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 3621077640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5890622400).

3621077640 is an abundant number, since it is smaller than the sum of its proper divisors (8160167160).

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

3621077640 is a wasteful number, since it uses less digits than its factorization.

3621077640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10907 (or 10900 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 3621077640 is about 60175.3906509962. The cubic root of 3621077640 is about 1535.6041562149.

The spelling of 3621077640 in words is "three billion, six hundred twenty-one million, seventy-seven thousand, six hundred forty".