3390464 has 88 divisors (see below), whose sum is σ = 8646528. Its totient is φ = 1290240.

The previous prime is 3390461. The next prime is 3390479. The reversal of 3390464 is 4640933.

3390464 = T₁₅ + T₁₆ + ... + T₂₇₂.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (88).

It is a super-2 number, since 2×3390464² = 22990492270592, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3390461) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78827 + ... + 78869.

It is an arithmetic number, because the mean of its divisors is an integer number (98256).

Almost surely, 2^3390464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3390464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4323264).

3390464 is an abundant number, since it is smaller than the sum of its proper divisors (5256064).

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

3390464 is a wasteful number, since it uses less digits than its factorization.

3390464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 29.

The square root of 3390464 is about 1841.3212647444. The cubic root of 3390464 is about 150.2287472835.

The spelling of 3390464 in words is "three million, three hundred ninety thousand, four hundred sixty-four".