38498760 has 128 divisors (see below), whose sum is σ = 131472000. Its totient is φ = 10015488.

The previous prime is 38498753. The next prime is 38498767. The reversal of 38498760 is 6789483.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (38498753) and next prime (38498767).

It is a super-3 number, since 3×38498760³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (38498767) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46026 + ... + 46854.

It is an arithmetic number, because the mean of its divisors is an integer number (1027125).

Almost surely, 2^38498760 is an apocalyptic number.

38498760 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 38498760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65736000).

38498760 is an abundant number, since it is smaller than the sum of its proper divisors (92973240).

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

38498760 is a wasteful number, since it uses less digits than its factorization.

38498760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 892 (or 882 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 38498760 is about 6204.7369001433. The cubic root of 38498760 is about 337.6620456405.

The spelling of 38498760 in words is "thirty-eight million, four hundred ninety-eight thousand, seven hundred sixty".