37226820 has 96 divisors (see below), whose sum is σ = 109283328. Its totient is φ = 9459072.

The previous prime is 37226803. The next prime is 37226837. The reversal of 37226820 is 2862273.

It is an interprime number because it is at equal distance from previous prime (37226803) and next prime (37226837).

It is a super-2 number, since 2×37226820² = 2771672254624800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121107 + ... + 121413.

It is an arithmetic number, because the mean of its divisors is an integer number (1138368).

Almost surely, 2^37226820 is an apocalyptic number.

37226820 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 37226820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54641664).

37226820 is an abundant number, since it is smaller than the sum of its proper divisors (72056508).

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

37226820 is a wasteful number, since it uses less digits than its factorization.

37226820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 37226820 is about 6101.3785327580. The cubic root of 37226820 is about 333.9017125067.

The spelling of 37226820 in words is "thirty-seven million, two hundred twenty-six thousand, eight hundred twenty".