3394535040 has 768 divisors, whose sum is σ = 13847258880. Its totient is φ = 788299776.

The previous prime is 3394535033. The next prime is 3394535047. The reversal of 3394535040 is 405354933.

It is a happy number.

3394535040 is a `hidden beast` number, since 33 + 94 + 535 + 0 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3394535033) and next prime (3394535047).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3394534986 and 3394535004.

It is not an unprimeable number, because it can be changed into a prime (3394535047) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46500444 + ... + 46500516.

It is an arithmetic number, because the mean of its divisors is an integer number (18030285).

Almost surely, 2^3394535040 is an apocalyptic number.

3394535040 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 3394535040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6923629440).

3394535040 is an abundant number, since it is smaller than the sum of its proper divisors (10452723840).

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

3394535040 is a wasteful number, since it uses less digits than its factorization.

3394535040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

The square root of 3394535040 is about 58262.6384572481. The cubic root of 3394535040 is about 1502.8885140872. Note that the first 3 decimals are identical.

Adding to 3394535040 its reverse (405354933), we get a palindrome (3799889973).

The spelling of 3394535040 in words is "three billion, three hundred ninety-four million, five hundred thirty-five thousand, forty".