3496836420 has 720 divisors, whose sum is σ = 14678116992. Its totient is φ = 676823040.

The previous prime is 3496836401. The next prime is 3496836439. The reversal of 3496836420 is 246386943.

3496836420 is a `hidden beast` number, since 3 + 496 + 83 + 64 + 20 = 666.

3496836420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3496836401) and next prime (3496836439).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 36049812 + ... + 36049908.

Almost surely, 2^3496836420 is an apocalyptic number.

3496836420 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 3496836420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7339058496).

3496836420 is an abundant number, since it is smaller than the sum of its proper divisors (11181280572).

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

3496836420 is a wasteful number, since it uses less digits than its factorization.

3496836420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The square root of 3496836420 is about 59134.0546555029. The cubic root of 3496836420 is about 1517.8368960347.

The spelling of 3496836420 in words is "three billion, four hundred ninety-six million, eight hundred thirty-six thousand, four hundred twenty".