3354642432 has 384 divisors, whose sum is σ = 10902528000. Its totient is φ = 1015234560.

The previous prime is 3354642371. The next prime is 3354642449. The reversal of 3354642432 is 2342464533.

3354642432 is a `hidden beast` number, since 3 + 3 + 5 + 4 + 642 + 4 + 3 + 2 = 666.

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

It is a super-2 number, since 2×3354642432² = 22507251693149749248, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32569293 + ... + 32569395.

It is an arithmetic number, because the mean of its divisors is an integer number (28392000).

Almost surely, 2^3354642432 is an apocalyptic number.

3354642432 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 3354642432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5451264000).

3354642432 is an abundant number, since it is smaller than the sum of its proper divisors (7547885568).

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

3354642432 is a wasteful number, since it uses less digits than its factorization.

3354642432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 158 counting only the distinct ones).

The product of its digits is 207360, while the sum is 36.

The square root of 3354642432 is about 57919.2751335857. The cubic root of 3354642432 is about 1496.9779796842.

The spelling of 3354642432 in words is "three billion, three hundred fifty-four million, six hundred forty-two thousand, four hundred thirty-two".