3699416448 has 384 divisors, whose sum is σ = 13597758720. Its totient is φ = 974923776.

The previous prime is 3699416417. The next prime is 3699416467. The reversal of 3699416448 is 8446149963.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a junction number, because it is equal to n+sod(n) for n = 3699416394 and 3699416403.

It is a congruent number.

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, 2829811 + ... + 2831117.

It is an arithmetic number, because the mean of its divisors is an integer number (35410830).

Almost surely, 2^3699416448 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 3699416448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6798879360).

3699416448 is an abundant number, since it is smaller than the sum of its proper divisors (9898342272).

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

3699416448 is a wasteful number, since it uses less digits than its factorization.

3699416448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1356 (or 1332 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The square root of 3699416448 is about 60822.8283459426. The cubic root of 3699416448 is about 1546.5990570261.

The spelling of 3699416448 in words is "three billion, six hundred ninety-nine million, four hundred sixteen thousand, four hundred forty-eight".