3476029440 has 336 divisors, whose sum is σ = 12683569248. Its totient is φ = 805306368.

The previous prime is 3476029409. The next prime is 3476029441. The reversal of 3476029440 is 449206743.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (3476029441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 204472312 + ... + 204472328.

It is an arithmetic number, because the mean of its divisors is an integer number (37748718).

Almost surely, 2^3476029440 is an apocalyptic number.

3476029440 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 3476029440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6341784624).

3476029440 is an abundant number, since it is smaller than the sum of its proper divisors (9207539808).

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

3476029440 is an frugal number, since it uses more digits than its factorization.

3476029440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

The square root of 3476029440 is about 58957.8615623057. The cubic root of 3476029440 is about 1514.8204124391.

The spelling of 3476029440 in words is "three billion, four hundred seventy-six million, twenty-nine thousand, four hundred forty".