351961740 has 192 divisors, whose sum is σ = 1190017920. Its totient is φ = 85847040.

The previous prime is 351961733. The next prime is 351961759. The reversal of 351961740 is 47169153.

351961740 is a `hidden beast` number, since 35 + 1 + 9 + 617 + 4 + 0 = 666.

351961740 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 351961695 and 351961704.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1270482 + ... + 1270758.

It is an arithmetic number, because the mean of its divisors is an integer number (6198010).

Almost surely, 2^351961740 is an apocalyptic number.

351961740 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 351961740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595008960).

351961740 is an abundant number, since it is smaller than the sum of its proper divisors (838056180).

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

351961740 is a wasteful number, since it uses less digits than its factorization.

351961740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 351961740 is about 18760.6433791595. The cubic root of 351961740 is about 706.0440844854.

The spelling of 351961740 in words is "three hundred fifty-one million, nine hundred sixty-one thousand, seven hundred forty".