3478387752 has 128 divisors (see below), whose sum is σ = 11113593600. Its totient is φ = 987427584.

The previous prime is 3478387739. The next prime is 3478387753. The reversal of 3478387752 is 2577838743.

It is a happy number.

It is a super-2 number, since 2×3478387752² = 24198362706527227008, which contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (3478387753) 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, 230058 + ... + 244710.

It is an arithmetic number, because the mean of its divisors is an integer number (86824950).

Almost surely, 2^3478387752 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 3478387752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5556796800).

3478387752 is an abundant number, since it is smaller than the sum of its proper divisors (7635205848).

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

3478387752 is a wasteful number, since it uses less digits than its factorization.

3478387752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14832 (or 14822 counting only the distinct ones).

The product of its digits is 7902720, while the sum is 54.

The square root of 3478387752 is about 58977.8581503262. The cubic root of 3478387752 is about 1515.1629116057.

The spelling of 3478387752 in words is "three billion, four hundred seventy-eight million, three hundred eighty-seven thousand, seven hundred fifty-two".