3620957760 has 336 divisors, whose sum is σ = 14568318336. Its totient is φ = 808206336.

The previous prime is 3620957741. The next prime is 3620957773. The reversal of 3620957760 is 677590263.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×3620957760² = 26222670199408435200, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 864792 + ... + 868968.

Almost surely, 2^3620957760 is an apocalyptic number.

3620957760 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 3620957760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7284159168).

3620957760 is an abundant number, since it is smaller than the sum of its proper divisors (10947360576).

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

3620957760 is a wasteful number, since it uses less digits than its factorization.

3620957760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4250 (or 4237 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 45.

The square root of 3620957760 is about 60174.3945544947. The cubic root of 3620957760 is about 1535.5872100389.

The spelling of 3620957760 in words is "three billion, six hundred twenty million, nine hundred fifty-seven thousand, seven hundred sixty".