354013632 has 336 divisors, whose sum is σ = 1254373920. Its totient is φ = 97542144.

The previous prime is 354013613. The next prime is 354013633. The reversal of 354013632 is 236310453.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 354013596 and 354013605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354013633) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3132808 + ... + 3132920.

Almost surely, 2^354013632 is an apocalyptic number.

354013632 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

354013632 is the 9408-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 354013632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627186960).

354013632 is an abundant number, since it is smaller than the sum of its proper divisors (900360288).

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

354013632 is a wasteful number, since it uses less digits than its factorization.

354013632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 354013632 is about 18815.2499850520. The cubic root of 354013632 is about 707.4134757487.

The spelling of 354013632 in words is "three hundred fifty-four million, thirteen thousand, six hundred thirty-two".