3695340096 has 336 divisors, whose sum is σ = 13308177600. Its totient is φ = 999806976.

The previous prime is 3695340073. The next prime is 3695340107. The reversal of 3695340096 is 6900435963.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1607620 + ... + 1609916.

Almost surely, 2^3695340096 is an apocalyptic number.

3695340096 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 3695340096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6654088800).

3695340096 is an abundant number, since it is smaller than the sum of its proper divisors (9612837504).

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

3695340096 is a wasteful number, since it uses less digits than its factorization.

3695340096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2351 (or 2328 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 45.

The square root of 3695340096 is about 60789.3090600642. The cubic root of 3695340096 is about 1546.0307872929.

The spelling of 3695340096 in words is "three billion, six hundred ninety-five million, three hundred forty thousand, ninety-six".