3153499440 has 480 divisors, whose sum is σ = 12547768320. Its totient is φ = 640733184.

The previous prime is 3153499429. The next prime is 3153499477. The reversal of 3153499440 is 449943513.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 3153499392 and 3153499401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8233489 + ... + 8233871.

It is an arithmetic number, because the mean of its divisors is an integer number (26141184).

Almost surely, 2^3153499440 is an apocalyptic number.

3153499440 is a gapful number since it is divisible by the number (30) 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 3153499440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6273884160).

3153499440 is an abundant number, since it is smaller than the sum of its proper divisors (9394268880).

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

3153499440 is a wasteful number, since it uses less digits than its factorization.

3153499440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The square root of 3153499440 is about 56156.0276372893. The cubic root of 3153499440 is about 1466.4398460075.

The spelling of 3153499440 in words is "three billion, one hundred fifty-three million, four hundred ninety-nine thousand, four hundred forty".