3396667392 has 384 divisors, whose sum is σ = 10968048000. Its totient is φ = 1035141120.

The previous prime is 3396667361. The next prime is 3396667399. The reversal of 3396667392 is 2937666933.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3396667399) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55683042 + ... + 55683102.

It is an arithmetic number, because the mean of its divisors is an integer number (28562625).

Almost surely, 2^3396667392 is an apocalyptic number.

3396667392 is a gapful number since it is divisible by the number (32) 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 3396667392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5484024000).

3396667392 is an abundant number, since it is smaller than the sum of its proper divisors (7571380608).

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

3396667392 is a wasteful number, since it uses less digits than its factorization.

3396667392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 138 counting only the distinct ones).

The product of its digits is 6613488, while the sum is 54.

The square root of 3396667392 is about 58280.9350645646. The cubic root of 3396667392 is about 1503.2031390646.

The spelling of 3396667392 in words is "three billion, three hundred ninety-six million, six hundred sixty-seven thousand, three hundred ninety-two".