3497507946240 has 1152 divisors, whose sum is σ = 14771918536704. Its totient is φ = 683679744000.

The previous prime is 3497507946239. The next prime is 3497507946253. The reversal of 3497507946240 is 426497057943.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 414834825 + ... + 414843255.

It is an arithmetic number, because the mean of its divisors is an integer number (12822845952).

Almost surely, 2^{3497507946240} is an apocalyptic number.

3497507946240 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 3497507946240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7385959268352).

3497507946240 is an abundant number, since it is smaller than the sum of its proper divisors (11274410590464).

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

3497507946240 is a wasteful number, since it uses less digits than its factorization.

3497507946240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8557 (or 8543 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 60.

The spelling of 3497507946240 in words is "three trillion, four hundred ninety-seven billion, five hundred seven million, nine hundred forty-six thousand, two hundred forty".