3728973402 has 288 divisors, whose sum is σ = 11171361600. Its totient is φ = 916090560.

The previous prime is 3728973379. The next prime is 3728973407. The reversal of 3728973402 is 2043798273.

It is not an unprimeable number, because it can be changed into a prime (3728973407) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6082848 + ... + 6083460.

It is an arithmetic number, because the mean of its divisors is an integer number (38789450).

Almost surely, 2^3728973402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3728973402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5585680800).

3728973402 is an abundant number, since it is smaller than the sum of its proper divisors (7442388198).

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

3728973402 is a wasteful number, since it uses less digits than its factorization.

3728973402 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 3728973402 is about 61065.3207802923. The cubic root of 3728973402 is about 1550.7070519607.

The spelling of 3728973402 in words is "three billion, seven hundred twenty-eight million, nine hundred seventy-three thousand, four hundred two".