3496775040 has 384 divisors, whose sum is σ = 13284928800. Its totient is φ = 840499200.

The previous prime is 3496775027. The next prime is 3496775053. The reversal of 3496775040 is 405776943.

3496775040 is a `hidden beast` number, since 3 + 496 + 77 + 50 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (3496775027) and next prime (3496775053).

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 (45).

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, 14509320 + ... + 14509560.

Almost surely, 2^3496775040 is an apocalyptic number.

3496775040 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 3496775040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6642464400).

3496775040 is an abundant number, since it is smaller than the sum of its proper divisors (9788153760).

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

3496775040 is a wasteful number, since it uses less digits than its factorization.

3496775040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 3496775040 is about 59133.5356629383. The cubic root of 3496775040 is about 1517.8280151147.

The spelling of 3496775040 in words is "three billion, four hundred ninety-six million, seven hundred seventy-five thousand, forty".