3478764672 has 384 divisors, whose sum is σ = 11298091200. Its totient is φ = 1065996288.

The previous prime is 3478764661. The next prime is 3478764673. The reversal of 3478764672 is 2764678743.

3478764672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

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

Its product of digits (9483264) is a multiple of the sum of its prime factors (112).

It is not an unprimeable number, because it can be changed into a prime (3478764673) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 80901483 + ... + 80901525.

Almost surely, 2^3478764672 is an apocalyptic number.

3478764672 is a gapful number since it is divisible by the number (32) 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 3478764672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5649045600).

3478764672 is an abundant number, since it is smaller than the sum of its proper divisors (7819326528).

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

3478764672 is an frugal number, since it uses more digits than its factorization.

3478764672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 65 counting only the distinct ones).

The product of its digits is 9483264, while the sum is 54.

The square root of 3478764672 is about 58981.0535002555. The cubic root of 3478764672 is about 1515.2176375897.

The spelling of 3478764672 in words is "three billion, four hundred seventy-eight million, seven hundred sixty-four thousand, six hundred seventy-two".