3476976624 has 160 divisors (see below), whose sum is σ = 10979297280. Its totient is φ = 1053455040.

The previous prime is 3476976623. The next prime is 3476976739. The reversal of 3476976624 is 4266796743.

3476976624 is a `hidden beast` number, since 3 + 4 + 7 + 6 + 9 + 7 + 6 + 624 = 666.

It is a super-3 number, since 3×3476976624³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3476976623) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 571969 + ... + 578015.

It is an arithmetic number, because the mean of its divisors is an integer number (68620608).

Almost surely, 2^3476976624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3476976624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5489648640).

3476976624 is an abundant number, since it is smaller than the sum of its proper divisors (7502320656).

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

3476976624 is a wasteful number, since it uses less digits than its factorization.

3476976624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6097 (or 6063 counting only the distinct ones).

The product of its digits is 9144576, while the sum is 54.

The square root of 3476976624 is about 58965.8937352772. The cubic root of 3476976624 is about 1514.9579911889.

It can be divided in two parts, 3476 and 976624, that added together give a square (980100 = 990²).

The spelling of 3476976624 in words is "three billion, four hundred seventy-six million, nine hundred seventy-six thousand, six hundred twenty-four".