3338352577890 has 128 divisors (see below), whose sum is σ = 9712681574400. Its totient is φ = 809205059520.

The previous prime is 3338352577877. The next prime is 3338352577927. The reversal of 3338352577890 is 987752538333.

It is a happy number.

3338352577890 is a `hidden beast` number, since 3 + 3 + 3 + 8 + 3 + 52 + 577 + 8 + 9 + 0 = 666.

It is a super-2 number, since 2×3338352577890² (a number of 26 digits) contains 22 as substring.

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, 27974289 + ... + 28093371.

It is an arithmetic number, because the mean of its divisors is an integer number (75880324800).

Almost surely, 2^{3338352577890} is an apocalyptic number.

3338352577890 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3338352577890 is an abundant number, since it is smaller than the sum of its proper divisors (6374328996510).

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

3338352577890 is a wasteful number, since it uses less digits than its factorization.

3338352577890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128549 (or 128543 counting only the distinct ones).

The product of its (nonzero) digits is 114307200, while the sum is 63.

The spelling of 3338352577890 in words is "three trillion, three hundred thirty-eight billion, three hundred fifty-two million, five hundred seventy-seven thousand, eight hundred ninety".