3475483997040 has 2400 divisors, whose sum is σ = 14987083890240. Its totient is φ = 744943288320.

The previous prime is 3475483996949. The next prime is 3475483997131. The reversal of 3475483997040 is 407993845743.

3475483997040 is a `hidden beast` number, since 3 + 47 + 5 + 483 + 9 + 9 + 70 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (3475483996949) and next prime (3475483997131).

It is a super-2 number, since 2×3475483997040² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 93931999902 + ... + 93931999938.

Almost surely, 2^{3475483997040} is an apocalyptic number.

3475483997040 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 3475483997040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7493541945120).

3475483997040 is an abundant number, since it is smaller than the sum of its proper divisors (11511599893200).

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

3475483997040 is a wasteful number, since it uses less digits than its factorization.

3475483997040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 63.

The spelling of 3475483997040 in words is "three trillion, four hundred seventy-five billion, four hundred eighty-three million, nine hundred ninety-seven thousand, forty".