3495876480 has 384 divisors, whose sum is σ = 12570798240. Its totient is φ = 894566400.

The previous prime is 3495876469. The next prime is 3495876509. The reversal of 3495876480 is 846785943.

3495876480 is a `hidden beast` number, since 3 + 4 + 95 + 8 + 76 + 480 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26686015 + ... + 26686145.

Almost surely, 2^3495876480 is an apocalyptic number.

3495876480 is a gapful number since it is divisible by the number (30) 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 3495876480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6285399120).

3495876480 is an abundant number, since it is smaller than the sum of its proper divisors (9074921760).

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

3495876480 is a wasteful number, since it uses less digits than its factorization.

3495876480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The square root of 3495876480 is about 59125.9374555702. The cubic root of 3495876480 is about 1517.6979927974.

The spelling of 3495876480 in words is "three billion, four hundred ninety-five million, eight hundred seventy-six thousand, four hundred eighty".