3475497060720 has 1120 divisors, whose sum is σ = 12829437434880. Its totient is φ = 874273720320.

The previous prime is 3475497060719. The next prime is 3475497060733. The reversal of 3475497060720 is 270607945743.

3475497060720 is a `hidden beast` number, since 3 + 4 + 7 + 5 + 4 + 9 + 7 + 0 + 607 + 20 = 666.

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 223 ways as a sum of consecutive naturals, for example, 10499990955 + ... + 10499991285.

Almost surely, 2^{3475497060720} is an apocalyptic number.

3475497060720 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 3475497060720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6414718717440).

3475497060720 is an abundant number, since it is smaller than the sum of its proper divisors (9353940374160).

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

3475497060720 is a wasteful number, since it uses less digits than its factorization.

3475497060720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 8890560, while the sum is 54.

The spelling of 3475497060720 in words is "three trillion, four hundred seventy-five billion, four hundred ninety-seven million, sixty thousand, seven hundred twenty".