3334535190240 has 96 divisors (see below), whose sum is σ = 10960472226816. Its totient is φ = 850548103680.

The previous prime is 3334535190209. The next prime is 3334535190247. The reversal of 3334535190240 is 420915354333.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×3334535190240² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3334535190192 and 3334535190201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3334535190247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151009576 + ... + 151031655.

It is an arithmetic number, because the mean of its divisors is an integer number (114171585696).

Almost surely, 2^{3334535190240} is an apocalyptic number.

3334535190240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3334535190240 is an abundant number, since it is smaller than the sum of its proper divisors (7625937036576).

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

3334535190240 is a wasteful number, since it uses less digits than its factorization.

3334535190240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302041272 (or 302041264 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 42.

The spelling of 3334535190240 in words is "three trillion, three hundred thirty-four billion, five hundred thirty-five million, one hundred ninety thousand, two hundred forty".