3698978976 has 288 divisors, whose sum is σ = 13806374400. Its totient is φ = 910103040.

The previous prime is 3698978923. The next prime is 3698978977. The reversal of 3698978976 is 6798798963.

3698978976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3698978977) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 416955 + ... + 425733.

It is an arithmetic number, because the mean of its divisors is an integer number (47938800).

Almost surely, 2^3698978976 is an apocalyptic number.

3698978976 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 3698978976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6903187200).

3698978976 is an abundant number, since it is smaller than the sum of its proper divisors (10107395424).

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

3698978976 is a wasteful number, since it uses less digits than its factorization.

3698978976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8832 (or 8821 counting only the distinct ones).

The product of its digits is 246903552, while the sum is 72.

The square root of 3698978976 is about 60819.2319583206. The cubic root of 3698978976 is about 1546.5380906130.

It can be divided in two parts, 369897 and 8976, that added together give a palindrome (378873).

The spelling of 3698978976 in words is "three billion, six hundred ninety-eight million, nine hundred seventy-eight thousand, nine hundred seventy-six".