3395657906550 has 1728 divisors, whose sum is σ = 12582479044800. Its totient is φ = 674869708800.

The previous prime is 3395657906549. The next prime is 3395657906567. The reversal of 3395657906550 is 556097565933.

3395657906550 is a `hidden beast` number, since 3 + 3 + 9 + 5 + 6 + 5 + 79 + 0 + 6 + 550 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 82820924530 + ... + 82820924570.

It is an arithmetic number, because the mean of its divisors is an integer number (7281527225).

Almost surely, 2^{3395657906550} is an apocalyptic number.

3395657906550 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3395657906550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6291239522400).

3395657906550 is an abundant number, since it is smaller than the sum of its proper divisors (9186821138250).

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

3395657906550 is a wasteful number, since it uses less digits than its factorization.

3395657906550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 114817500, while the sum is 63.

The spelling of 3395657906550 in words is "three trillion, three hundred ninety-five billion, six hundred fifty-seven million, nine hundred six thousand, five hundred fifty".