3483680970276 has 288 divisors, whose sum is σ = 10157298278400. Its totient is φ = 998411090688.

The previous prime is 3483680970251. The next prime is 3483680970281. The reversal of 3483680970276 is 6720790863843.

3483680970276 is a `hidden beast` number, since 3 + 483 + 6 + 80 + 9 + 7 + 0 + 2 + 76 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 100658391 + ... + 100692993.

It is an arithmetic number, because the mean of its divisors is an integer number (35268396800).

Almost surely, 2^{3483680970276} is an apocalyptic number.

3483680970276 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 3483680970276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5078649139200).

3483680970276 is an abundant number, since it is smaller than the sum of its proper divisors (6673617308124).

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

3483680970276 is a wasteful number, since it uses less digits than its factorization.

3483680970276 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34895 (or 34890 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 63.

The spelling of 3483680970276 in words is "three trillion, four hundred eighty-three billion, six hundred eighty million, nine hundred seventy thousand, two hundred seventy-six".