354800376 has 288 divisors, whose sum is σ = 1209312000. Its totient is φ = 93405312.

The previous prime is 354800371. The next prime is 354800377. The reversal of 354800376 is 673008453.

It is a happy number.

It is a super-3 number, since 3×354800376³ (a number of 27 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 354800376.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354800371) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4491105 + ... + 4491183.

It is an arithmetic number, because the mean of its divisors is an integer number (4199000).

Almost surely, 2^354800376 is an apocalyptic number.

354800376 is a gapful number since it is divisible by the number (36) 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 354800376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604656000).

354800376 is an abundant number, since it is smaller than the sum of its proper divisors (854511624).

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

354800376 is a wasteful number, since it uses less digits than its factorization.

354800376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 354800376 is about 18836.1454655670. The cubic root of 354800376 is about 707.9371293401.

The spelling of 354800376 in words is "three hundred fifty-four million, eight hundred thousand, three hundred seventy-six".