3496977792 has 512 divisors, whose sum is σ = 13642214400. Its totient is φ = 853770240.

The previous prime is 3496977787. The next prime is 3496977793. The reversal of 3496977792 is 2977796943.

3496977792 is a `hidden beast` number, since 3 + 496 + 9 + 77 + 79 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3496977793) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4523518 + ... + 4524290.

It is an arithmetic number, because the mean of its divisors is an integer number (26644950).

Almost surely, 2^3496977792 is an apocalyptic number.

3496977792 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

3496977792 is the 29568-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3496977792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6821107200).

3496977792 is an abundant number, since it is smaller than the sum of its proper divisors (10145236608).

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

3496977792 is a wasteful number, since it uses less digits than its factorization.

3496977792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 831 (or 813 counting only the distinct ones).

The product of its digits is 36006768, while the sum is 63.

The square root of 3496977792 is about 59135.2499952440. The cubic root of 3496977792 is about 1517.8573504036.

The spelling of 3496977792 in words is "three billion, four hundred ninety-six million, nine hundred seventy-seven thousand, seven hundred ninety-two".