3677700096 has 270 divisors, whose sum is σ = 12382976970. Its totient is φ = 1048707072.

The previous prime is 3677700077. The next prime is 3677700107. The reversal of 3677700096 is 6900077763.

It can be written as a sum of positive squares in only one way, i.e., 3497066496 + 180633600 = 59136^2 + 13440^2 .

It is a super-2 number, since 2×3677700096² = 27050955992236818432, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7225090 + ... + 7225598.

Almost surely, 2^3677700096 is an apocalyptic number.

3677700096 is a gapful number since it is divisible by the number (36) 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 3677700096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6191488485).

3677700096 is an abundant number, since it is smaller than the sum of its proper divisors (8705276874).

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

3677700096 is an equidigital number, since it uses as much as digits as its factorization.

3677700096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 333396, while the sum is 45.

The square root of 3677700096 is about 60644.0441923195. The cubic root of 3677700096 is about 1543.5668288278.

The spelling of 3677700096 in words is "three billion, six hundred seventy-seven million, seven hundred thousand, ninety-six".