3790097696 has 288 divisors, whose sum is σ = 10114191360. Its totient is φ = 1356364800.

The previous prime is 3790097693. The next prime is 3790097737. The reversal of 3790097696 is 6967900973.

It is a super-3 number, since 3×3790097696³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is not an unprimeable number, because it can be changed into a prime (3790097693) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64238915 + ... + 64238973.

It is an arithmetic number, because the mean of its divisors is an integer number (35118720).

Almost surely, 2^3790097696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3790097696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5057095680).

3790097696 is an abundant number, since it is smaller than the sum of its proper divisors (6324093664).

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

3790097696 is a wasteful number, since it uses less digits than its factorization.

3790097696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 3857868, while the sum is 56.

The square root of 3790097696 is about 61563.7693452894. The cubic root of 3790097696 is about 1559.1340931967.

The spelling of 3790097696 in words is "three billion, seven hundred ninety million, ninety-seven thousand, six hundred ninety-six".