3495659669040 has 320 divisors, whose sum is σ = 13529604049920. Its totient is φ = 725343621120.

The previous prime is 3495659668973. The next prime is 3495659669057. The reversal of 3495659669040 is 409669565943.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12968922 + ... + 13235718.

It is an arithmetic number, because the mean of its divisors is an integer number (42280012656).

Almost surely, 2^{3495659669040} is an apocalyptic number.

3495659669040 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 3495659669040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6764802024960).

3495659669040 is an abundant number, since it is smaller than the sum of its proper divisors (10033944380880).

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

3495659669040 is a wasteful number, since it uses less digits than its factorization.

3495659669040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267540 (or 267534 counting only the distinct ones).

The product of its (nonzero) digits is 188956800, while the sum is 66.

The spelling of 3495659669040 in words is "three trillion, four hundred ninety-five billion, six hundred fifty-nine million, six hundred sixty-nine thousand, forty".