3454621632 has 504 divisors, whose sum is σ = 12739327328. Its totient is φ = 875888640.

The previous prime is 3454621609. The next prime is 3454621633. The reversal of 3454621632 is 2361264543.

3454621632 is a `hidden beast` number, since 34 + 5 + 462 + 163 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3454621633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 35614608 + ... + 35614704.

Almost surely, 2^3454621632 is an apocalyptic number.

3454621632 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 3454621632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6369663664).

3454621632 is an abundant number, since it is smaller than the sum of its proper divisors (9284705696).

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

3454621632 is a wasteful number, since it uses less digits than its factorization.

3454621632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 193 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 3454621632 is about 58776.0293997476. The cubic root of 3454621632 is about 1511.7042337413.

The spelling of 3454621632 in words is "three billion, four hundred fifty-four million, six hundred twenty-one thousand, six hundred thirty-two".