354407712120 has 512 divisors, whose sum is σ = 1550389248000. Its totient is φ = 69766894080.

The previous prime is 354407712119. The next prime is 354407712121. The reversal of 354407712120 is 21217704453.

354407712120 is a `hidden beast` number, since 3 + 5 + 440 + 77 + 121 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (354407712119) and next prime (354407712121).

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 (354407712121) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1467889 + ... + 1692191.

It is an arithmetic number, because the mean of its divisors is an integer number (3028104000).

Almost surely, 2^354407712120 is an apocalyptic number.

354407712120 is a gapful number since it is divisible by the number (30) 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 354407712120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775194624000).

354407712120 is an abundant number, since it is smaller than the sum of its proper divisors (1195981535880).

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

354407712120 is a wasteful number, since it uses less digits than its factorization.

354407712120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224360 (or 224350 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 354407712120 in words is "three hundred fifty-four billion, four hundred seven million, seven hundred twelve thousand, one hundred twenty".