3394007040 has 208 divisors, whose sum is σ = 11160466848. Its totient is φ = 880017408.

The previous prime is 3394007039. The next prime is 3394007051. The reversal of 3394007040 is 407004933.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3394006989 and 3394007007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2272534 + ... + 2274026.

Almost surely, 2^3394007040 is an apocalyptic number.

3394007040 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 3394007040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5580233424).

3394007040 is an abundant number, since it is smaller than the sum of its proper divisors (7766459808).

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

3394007040 is a wasteful number, since it uses less digits than its factorization.

3394007040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1562 (or 1540 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 30.

The square root of 3394007040 is about 58258.1070753247. The cubic root of 3394007040 is about 1502.8105882178.

The spelling of 3394007040 in words is "three billion, three hundred ninety-four million, seven thousand, forty".