3476235840 has 896 divisors, whose sum is σ = 14944075776. Its totient is φ = 663552000.

The previous prime is 3476235823. The next prime is 3476235857. The reversal of 3476235840 is 485326743.

It is an interprime number because it is at equal distance from previous prime (3476235823) and next prime (3476235857).

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 = 3476235792 and 3476235801.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 84786220 + ... + 84786260.

It is an arithmetic number, because the mean of its divisors is an integer number (16678656).

Almost surely, 2^3476235840 is an apocalyptic number.

3476235840 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 3476235840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7472037888).

3476235840 is an abundant number, since it is smaller than the sum of its proper divisors (11467839936).

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

3476235840 is a wasteful number, since it uses less digits than its factorization.

3476235840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 42.

The square root of 3476235840 is about 58959.6119390214. The cubic root of 3476235840 is about 1514.8503942283.

The spelling of 3476235840 in words is "three billion, four hundred seventy-six million, two hundred thirty-five thousand, eight hundred forty".