3480682501440 has 112 divisors (see below), whose sum is σ = 12279074410560. Its totient is φ = 928181998080.

The previous prime is 3480682501411. The next prime is 3480682501463. The reversal of 3480682501440 is 441052860843.

3480682501440 is a `hidden beast` number, since 3 + 4 + 80 + 6 + 82 + 50 + 1 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 201419746 + ... + 201437025.

Almost surely, 2^{3480682501440} is an apocalyptic number.

3480682501440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3480682501440 is an abundant number, since it is smaller than the sum of its proper divisors (8798391909120).

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

3480682501440 is a wasteful number, since it uses less digits than its factorization.

3480682501440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402856797 (or 402856781 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 3480682501440 in words is "three trillion, four hundred eighty billion, six hundred eighty-two million, five hundred one thousand, four hundred forty".