3478146672 has 320 divisors, whose sum is σ = 12159221760. Its totient is φ = 827366400.

The previous prime is 3478146647. The next prime is 3478146689. The reversal of 3478146672 is 2766418743.

It is a happy number.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9176979 + ... + 9177357.

It is an arithmetic number, because the mean of its divisors is an integer number (37997568).

Almost surely, 2^3478146672 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 3478146672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6079610880).

3478146672 is an abundant number, since it is smaller than the sum of its proper divisors (8681075088).

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

3478146672 is a wasteful number, since it uses less digits than its factorization.

3478146672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612 (or 606 counting only the distinct ones).

The product of its digits is 1354752, while the sum is 48.

The square root of 3478146672 is about 58975.8142970489. The cubic root of 3478146672 is about 1515.1279065075.

The spelling of 3478146672 in words is "three billion, four hundred seventy-eight million, one hundred forty-six thousand, six hundred seventy-two".