371742000 has 320 divisors, whose sum is σ = 1403910144. Its totient is φ = 82867200.

The previous prime is 371741989. The next prime is 371742001. The reversal of 371742000 is 247173.

It is a super-2 number, since 2×371742000² = 276384229128000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (371742001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2225917 + ... + 2226083.

Almost surely, 2^371742000 is an apocalyptic number.

371742000 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 371742000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701955072).

371742000 is an abundant number, since it is smaller than the sum of its proper divisors (1032168144).

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

371742000 is a wasteful number, since it uses less digits than its factorization.

371742000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 24.

The square root of 371742000 is about 19280.6120234810. The cubic root of 371742000 is about 719.0303304735.

Adding to 371742000 its reverse (247173), we get a palindrome (371989173).

It can be divided in two parts, 371 and 742000, that added together give a triangular number (742371 = T₁₂₁₈).

The spelling of 371742000 in words is "three hundred seventy-one million, seven hundred forty-two thousand".