3730965984 has 72 divisors (see below), whose sum is σ = 10680323472. Its totient is φ = 1235404800.

The previous prime is 3730965983. The next prime is 3730965991. The reversal of 3730965984 is 4895690373.

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 3730965984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3730965983) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 592 + ... + 86384.

It is an arithmetic number, because the mean of its divisors is an integer number (148337826).

Almost surely, 2^3730965984 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 3730965984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5340161736).

3730965984 is an abundant number, since it is smaller than the sum of its proper divisors (6949357488).

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

3730965984 is a wasteful number, since it uses less digits than its factorization.

3730965984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85960 (or 85949 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The square root of 3730965984 is about 61081.6337698985. The cubic root of 3730965984 is about 1550.9832102509.

The spelling of 3730965984 in words is "three billion, seven hundred thirty million, nine hundred sixty-five thousand, nine hundred eighty-four".