3482378676 has 192 divisors, whose sum is σ = 10737664000. Its totient is φ = 955048320.

The previous prime is 3482378657. The next prime is 3482378699. The reversal of 3482378676 is 6768732843.

3482378676 is a `hidden beast` number, since 348 + 237 + 8 + 67 + 6 = 666.

3482378676 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3482378676² = 24253922486119025952, which contains 22 as substring.

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

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, 3257070 + ... + 3258138.

Almost surely, 2^3482378676 is an apocalyptic number.

3482378676 is a gapful number since it is divisible by the number (36) 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 3482378676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5368832000).

3482378676 is an abundant number, since it is smaller than the sum of its proper divisors (7255285324).

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

3482378676 is a wasteful number, since it uses less digits than its factorization.

3482378676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1259 (or 1251 counting only the distinct ones).

The product of its digits is 8128512, while the sum is 54.

The square root of 3482378676 is about 59011.6825382907. The cubic root of 3482378676 is about 1515.7421635750.

The spelling of 3482378676 in words is "three billion, four hundred eighty-two million, three hundred seventy-eight thousand, six hundred seventy-six".